Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 <

10 answers
Question:

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?
a: a number line with open circles at negative 2 and 5 with shading in between.
b: number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
c: number line with shading everywhere.
d: number line with open dot at negative 2 and a closed dot at 5 with shading in between

Answers

1) 4p + 1 > - 7  => 4p > - 8=> p > - 2graph: < ||          -4          -3      -2      2) 6p + 3 < 33=> 6p < 33 - 3=> 6p < 30=> p < 5graph: <         -2          -1        0        1          2          3            4        5compounded graph: <         -2          -1        0        1          2          3            4        5

4p + 1 > -7                   6p + 3 < 33
4p > -7 - 1                    6p < 33 - 3
4p > -8                         6p < 30
p > -8/4                         p < 30/6
p > -2                           p < 5

p > -2 or p < 5 It will have a open circle on -2, with shading to the right...and a open circle on 5, with shading to the left...or basically, open circles on -2 and 5, with shading in between

5p+7p

Step-by-step explanation:

Answer with explanation:

The two compound Inequality is

1. →→4 p +1 > -7

 Subtracting , 1 from both sides

→4 p +1 -1 > -7 -1

→ 4 p > -8

Dividing both sides by, 4 we get

p > -2

⇒⇒Second , Inequality is

6 p + 3 < 33

Subtracting , 3 from both sides

→6 p +3 - 3 < 33 -3

→6 p < 30

Dividing both sides by 5, we get

→p<5

The solution of the two combined inequality is

1.→ p > -2 and p < 5.

≡-2 < p <5

Combining them we get the solution set,which is, p ∈ (-2,5)

Option A: →A number line with open circles at negative 2 and 5 with shading in between.


[tex]Me  which of the following is the correct graph of the compound inequality 4p + 1 > −7 or[/tex]

Option: A is the correct answer.

A.    a number line with open circles at -2 and 5 with shading in between.

Step-by-step explanation:

We are given a system of linear inequality in terms of variable ''p'' as:

(1)            [tex]4p+1-7[/tex]

on subtracting -1 from both side of the inequality we get:

              [tex]4p-8[/tex]

Now on dividing both side of the inequality by 4 we get:

             [tex]p-2[/tex]

Hence, the region that is obtained is:

                     (-2,∞)

(2)         [tex]6p+3<33[/tex]

on subtracting -3 from both side of the inequality we get:

              [tex]6p<30[/tex]

Now on dividing both side of the inequality by 5 we get:

             [tex]p<5[/tex]

Hence, the region that is obtained is:

                   (-∞,5)

Hence, the common region that is obtained by both the inequalities is:

                    (-2,5)

i.e. the graph will be a number line with open circle both at -2 and 5 and shading in between them.


[tex]Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 <[/tex]

set of all real numbers (-∞,∞)

Step-by-step explanation:

Solve each inequality

[tex]4p+1-7[/tex]

Subtract 1 from both sides

[tex]4p-8[/tex]

Divide by 4 on both sides

[tex]p-2[/tex]

[tex]6p+3 <33[/tex]

Subtract 3 from both sides

[tex]6p<30[/tex]

Divide both sides by 6

[tex]p<5[/tex]

[tex]p-2[/tex] or [tex]p<5[/tex]

The graph is attached below


[tex]Which of the following is the correct graph of the compound inequality 4p+1> -7 or 6p+3 < 33?[/tex]

Step-by-step explanation:

4p+1>-7 , p>-2

6p+3<33 , p<5

-2<p<5


[tex]Which of the following is the correct graph of the compound inequality 4p+1>-7 or 6p+3<33 ( t[/tex]

The answer is B :)

I hope this helped

The answer is B

I hope this helped :)

We are given compound inequality 4p + 1 > −7 or 6p + 3 < 33.

Let us solve each of the inequality one by one.

4p + 1 > −7

Subtracting 1 from both sides, we get

4p + 1-1 > -7-1

4p > -8

Dividing both sides by 4, we get

p > -2.      (Shading right side for greater than sign)

Solving 6p + 3 < 33.

Subtracting 3 from both sides, we get

6p + 3-3 < 33-3.

6p < 30

Dividing both sides by 6, we get

p < 5. (Shading left for less than sign)

We have less than and greater than symbols in both inequalities, therefore we would have open circles(dots) on -2 and 5.

And because we have "OR" composite inequality.

So, we would take the combination of both shaded portion.

Therefore, correct option is C.number line with shading everywhere..

Similar Solved Works

3 answers

In game design what are the 2 elements of storytelling that are considered

In game design what are the 2 elements of storytelling that are considered...
3 answers

Write the character sketch of Shankar​

Write the character sketch of Shankar​...
10 answers

Divide using long divison -3x^5+11x^4+33x^3-26x^2-36x-6/ x^3+6x^2-3x-5 15 POINTS REWARDED

Divide using long divison -3x^5+11x^4+33x^3-26x^2-36x-6/ x^3+6x^2-3x-5 15 POINTS REWARDED [tex]Divide using long divison -3x^5+11x^4+33x^3-26x^2-36x-6/ x^3+6x^2-3x-5 15 POINTS REWARDED[/tex]...
4 answers

What ordered pairs are solutions to the inequality −2x+y≥−4

What ordered pairs are solutions to the inequality −2x+y≥−4...
10 answers

What evidence suggests the continents were once all together but then drifted apart?

What evidence suggests the continents were once all together but then drifted apart?...
4 answers

Draw the DNA strand separating down the middle is in the beginning of DNA replication

Draw the DNA strand separating down the middle is in the beginning of DNA replication...
3 answers

Is usage a adverb , adjective, noun or verb

Is usage a adverb , adjective, noun or verb...
4 answers

¿¿Ustedes k le dirian a lucy nomada??espero su respuesta U>U

¿¿Ustedes k le dirian a lucy nomada?? espero su respuesta U>U...
4 answers

What process can make fecal nutrients availabe to organismsA. Through decomposition and remineralizationB.

What process can make fecal nutrients availabe to organisms A. Through decomposition and remineralization B. Aeration C. It serves as a source food for hungy animals D. None of these...
3 answers

Which of the following number is odd? ​

Which of the following number is odd? ​...
4 answers

Assignments courses assignment - 7. quiz 1. resistance training attempt 2 of 100 section 1 of 1 question 16 after he stopped

Assignments courses assignment - 7. quiz 1. resistance training attempt 2 of 100 section 1 of 1 question 16 after he stopped his diet, paul found that he gained back more weight than he lost. this is probably because he decreased his resting metabolic rate increased his resting metabolic rate gained...
10 answers

Retailers often perform ticketing and marking functions in their distribution centers rather than in

Retailers often perform ticketing and marking functions in their distribution centers rather than in their retail stores because ticketing and marking is oftena. the responsibility of the dispatcher. b. too complex for sales personnel to manage. c. done in conjunction with supply chain promotional a...
3 answers

Astate's sale tax is 8%. this places a higher burden on low-income individuals. what type of tax system does this represent?

Astate's sale tax is 8%. this places a higher burden on low-income individuals. what type of tax system does this represent?...
4 answers

Given a is between y and z and y a= 14x, az = 10xand y z = 12x + 48 , find az.

Given a is between y and z and y a= 14x, az = 10xand y z = 12x + 48 , find az....
4 answers

Which change would most likely cause a decrease in the number of squirrels living in an area?(1) a decrease in the number of predators

Which change would most likely cause a decrease in the number of squirrels living in an area? (1) a decrease in the number of predators (2) a decrease in competition between the squirrels (3) an increase in available food (4) an increase in the number of forest fires i think its 4 but is it???...
3 answers

Match the solid with the cross-section that is formed if a horizontal slice is taken of the solid.

Match the solid with the cross-section that is formed if a horizontal slice is taken of the solid. [tex]Match the solid with the cross-section that is formed if a horizontal slice is taken of the solid.[/tex]...
5 answers

How many 1/4 cup servings are in 5 cups of milk

How many 1/4 cup servings are in 5 cups of milk...
4 answers

I am bored aslcan someone talk to me

I am bored aslcan someone talk to me...
4 answers

Ma ajută să traduceți tot textul în română vă dau 50 de puncte​

Ma ajută să traduceți tot textul în română vă dau 50 de puncte​...
1 answer

Which graph represents the solution set to the system of inequalities?2x+y≥−4y≥2xy−3>1/2x

Which graph represents the solution set to the system of inequalities? 2x+y≥−4 y≥2x y−3>1/2x [tex]Which graph represents the solution set to the system of inequalities? 2x+y≥−4 y≥2x y−3>1/2x[/tex]...

-- 0.050774--