To find the solution to this inequality, solve for x.
-1/4 (12x + 8) ≤ -2x + 11
First, distribute -1/4 into (12x + 8)
-3x - 2 ≤ -2x + 11
To solve for x, bring it to one side of the equation
-x - 2 ≤ 11
Add 2 to both sides to isolate x
-x ≤ 13
Divide each side by -1
x ≥ -13
When you divide by a negative sign with an inequality, you flip the inequality sign. So negative x is less than or equal to 13 becomes x is greater than or equal to -13.
To check this, plug in -13 for x, a number greater than -13 for x, and a number less than -13 for x. The solution will be true for a number ≥ -13, but false for a number ≤ -13