Question

What is the solution to -2(8x – 4) < 2x + 5?

Answer 1

`x > (1)/(6)`

Explanation:

1. Foil the left hand side of the equation:

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

2. Isolate the variable (bring all of the x's on one side):

`- 16x < 2x +( 5 - 8)`

`- 16x - 2x < - 3`

`- 18x < - 3`

3. Isolate x by dividing both sides by -18. Remember, when you divide inequalities by a negative number, you have to switch the sign!

`( - 18x)/( - 18) < - ( - 3)/( - 18)`

`x > (1)/(6)`