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

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Respuesta :

Answer:

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

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 > [tex]\frac{-3}{-18}[/tex] , that is

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