The inequality −2(x + 10) ≥ 75 says the same thing as −2x − 20 ≥ 75. I can multiply by -2 on the left side without reversing the inequality symbol.

1 answer

Yes, that is true. But when you divide both sides by (-2) to solve for x; you will have to reverse inequality sign.

-2x - 20 >= 75.
-2x >= 95
X <= -47.5.

Therefore, all values of x that are less than or equal to (-47.5) will satisfy the given inequality.
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