Question

solve for t.
-2(82 + 46t) > 6(-10t - 6)
write your answer with t first, followed by an inequality symbol.

Explanation:

Step1: Expand both sides

-2(82 + 46t)=-164 - 92t, 6(-10t - 6)=-60t - 36. So the inequality becomes -164 - 92t > -60t - 36.

Step2: Add 92t to both sides

-164 - 92t+92t > -60t - 36+92t, which simplifies to -164 > 32t - 36.

Step3: Add 36 to both sides

-164 + 36>32t - 36+ 36, resulting in -128 > 32t.

Step4: Divide both sides by 32

\frac{-128}{32}>\frac{32t}{32}, so - 4>t.

Answer:

t < - 4