Question

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

Answer 1

Answer:

x > $\frac{1}{6}$

Step-by-step explanation:

Given

- 2 (8x - 4) < 2x + 5 ← distribute left side

- 16x + 8 < 2x + 5 ( subtract 2x from both sides )

- 18x + 8 < 5 ( subtract 8 from both sides )

- 18x < - 3

Divide both sides by - 18, reversing the symbol as a result of dividing by a negative quantity.

x > $\frac{-3}{-18}$ , that is

x > $\frac{1}{6}$