Help pleaseeeWhat is the solution to -2(8x – 4)< 2x + 5?Ox>Ox<O x > 6O x<6

10 answers
Question:

Help pleaseee What is the solution to -2(8x – 4)< 2x + 5?
Ox>
Ox<
O x > 6
O x<6

[tex]Helpppp pleaseee What is the solution to -2(8x – 4)< 2x + 5? Ox> Ox< O x > 6 O x<6[/tex]


Answers

x> 1/6

Step-by-step explanation:

-2(8x – 4)< 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x +8+16x < 2x+16x+5

8 < 18x+5

Subtract 5 from each side

8-5 < 18x

3 < 18x

Divide each side by 18

3/18 < 18x/18

1/6 < x

[tex]x \frac{1}{6}[/tex]

First answer is correct.

Step-by-step explanation:

[tex]- 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x \frac{1}{6}[/tex]

x < 1/6

Step by Step Explanation: Step 1: Simplify both sides of the inequality.

−16x+8<2x+5

Step 2: Subtract 2x from both sides.

−16x+8−2x<2x+5−2x

−18x+8<5

Step 3: Subtract 8 from both sides.

−18x+8−8<5−8

−18x<−3

Step 4: Divide both sides by -18.

-18x/-18 < -3/-18

x < 1/6

x>1/6

Step-by-step explanation:

For this problem, you solve it as if it had an equal sign.

-2(8x-4)<2x+5                        [distribute -2]

-16x+8<2x+5                           [combine like terms by adding and subtracting on both sides]

3<18x                                      [divide both sides by 18]

x>1/6

-2(8x - 4) < 2x + 5

Expand the brackets.

-16x +8 < 2x + 5

Add -2x and -8 on both sides.

-16x -2x<5-8

-18x<-3

Multiply both sides with -1 (reverse the inequalty).

18x>3

Divide 18 into both sides.

18x/18>3/18

x>1/6

1/6 <x

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x+16x +8 < 2x+16x+5

8 < 18x +5

Subtract 5 from each side

8-5 <18x

3 <18x

Divide by 18

3/18 <x

1/6 <x

Step-by-step explanation:

The answer is x > 1/6

Hope this helps.

The answer to the question is x<3/18

x > 1/6

Step-by-step explanation:

Perform the indicated multiplication.  Then:

-16x + 8 < 2x + 5

Combining the x terms, we get:

8 < 18x + 5.

Simplifying further, we get:

3 < 18x, so that   3/18 < x, or x > 1/6

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