Question

question
solve the following inequality for t. write your answer in simplest form.
7t - 6 < 10t + 7

Explanation:

Step1: Subtract $7t$ from both sides

$7t - 6 - 7t < 10t + 7 - 7t$
$-6 < 3t + 7$

Step2: Subtract 7 from both sides

$-6 - 7 < 3t + 7 - 7$
$-13 < 3t$

Step3: Divide by 3 on both sides

$\frac{-13}{3} < \frac{3t}{3}$
$\frac{-13}{3} < t$

Answer:

$t > -\frac{13}{3}$