Question

Which is the solution to -2(8x-4)<2x+5 x>1/6 x<1/6. X>6 x<6

Answer 1

Choice A is correct answer.

Explanation:

Given inequalities is:

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

We have to find the value of x.

-16x+8 < 2x+5

Adding 16x to both sides of inequalities , we get

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

0+8 < 18x+5

Adding -5 to both sides of inequality ,we get

-5+8 < 18x+5-5

3 < 18x

Multiplying by 1/18 to both sides of above equation,we get

1/18(3) < 1/18(18xx)

3/18 < x

Swapping sides,we get

x > 3/18

x > 1/6 which is the answer.

Answer 2

x > 1/6

Explanation:

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

We open the brackets first

-16X + 8 < 2X + 5

Combine the like terms, we subtract 8 on both sides

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

-16 x < 2x -3

We subtract 2x on both side

-16x -2x < -3

-18 x < -3

simplify, by dividing both side by -18,

-18x/-18 <-3/18

x > 1/6 (reverse the sign to >)

x > 1/6