Answer:
x > -13
Step-by-step explanation:
-[tex]\frac{1}{4}[/tex] x (12x + 8) < -2x + 11
Factor out 4 from expression
-[tex]\frac{1}{4}[/tex] x 4 (3x + 2) < -2x + 11
reduce numbers wit greatest common divisor 4
- (3x + 2) < =2x + 11
When a - is in front of parenthesis change the sign
-3x -2 < -2x + 11
Move variable to left side and change the sign
-3x + 2x -2 < 11
Move constant to the right and change the sign
-3x + 2x < 11 + 2
Collect like terms
-x < 11 + 2
add
-x < 13
Change the signs on both sides of the inequality and flip the inequality sign
x > -13
