ANSWER
x ≥ -7
EXPLANATION
We have the inequality given:
-2x + 8 ≤ 4x + 50
To solve this, we collect like terms:
-2x - 4x ≤ 50 - 8
-6x ≤ 42
Now, divide through by -6.
When you divide an inequality by a negative number, the sign changes direction, so we have:
x ≥ 42 / -6
x ≥ -7
That is the solution set for the inequality.
