Explanation:
-8(x + 7.5) ≤ 10?
expand left side:
-8x - 60 ≤ 10
subtract 60 to both sides:
-8x - 60 + 60 ≤ 10 + 60
-8x ≤ 70
dive both sides by -8: (Remember when dividing by a negative number, you flip the direction of the inequality sign)
-8x/-8 ≥ 70/-8
x ≥ -35/4
reduce right side:
x ≥ -35/4 or x ≥ -8.75 [depends on if you need fractional or decimal format]
so in set builder format: [-35/4 , ∞) or [-8.75 , ∞) [depends on if you need fractional or decimal format]