Answer:
x > - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
- 3(x - 2) - 3x < 2x + 18 ← distribute parenthesis and simplify left side
- 3x + 6 - 3x < 2x + 18
- 6x + 6 < 2x + 18 ( subtract 2x from both sides )
- 8x + 6 < 18 ( subtract 6 from both sides )
- 8x < 12
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
x > [tex]\frac{12}{-8}[/tex] , that is
x > - [tex]\frac{3}{2}[/tex]
