Which is the solution to - 2 (8x-4) 1/6 x6 x<6

x > 1/6

Step-by-step 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

Choice A is correct answer.

Step-by-step 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.