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2 answers:
The answer is D. m≥0.
First the inequality must be simplified.
5(-4m-4)-8(3m+7)≤-76
5*-4m=-20m
5*-4=-20
-8*3m=-24m
-8*7=-56
-20m-20-24m-56≤-76
Now the like terms must be combined.
-20m+-24m=-44m
-20+-56=-76
-44m-76≤-76
Add positive 76 to both sides of the inequality.
-44m-76+76≤-76+76
-44m≤0
Divide both sides by -44.
≤
m≥0
(When dividing with a negative number in inequalities, the sign has to be flipped.)
5(-4m - 4) - 8(3m + 7) ≤ -76
Distribute 5 and -8 inside their respective parentheses.
-20m - 20 - 24m - 56 ≤ -76
Combine like terms.
-44m - 76 ≤ -76
Add 76 to both sides.
-44m ≤ 0
Divide both sides by -44 and flip the inequality sign because you are dividing by a negative number.
m ≥ 0
D) m ≥ 0
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