Question

solve for t.
$\frac{2t - 5}{3}>3$ or $\frac{t - 13}{3}<-3$
write your answer as a compound inequality with integers.

Explanation:

Step1: Solve the first inequality

Multiply both sides of $\frac{2t - 5}{3}>3$ by 3: $2t - 5>9$. Then add 5 to both sides: $2t>9 + 5$, so $2t>14$. Divide both sides by 2: $t > 7$.

Step2: Solve the second inequality

Multiply both sides of $\frac{t - 13}{3}<-3$ by 3: $t-13<-9$. Then add 13 to both sides: $t<-9 + 13$, so $t < 4$.

Answer:

$t>7$ or $t<4$