Question

solve the following inequality for t. write your answer in simplest form.
5t - 8 ≤ 9t - 6
answer attempt 1 out of 3
t
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Explanation:

Step1: Subtract $5t$ from both sides

$5t - 8 - 5t \leq 9t - 6 - 5t$
$-8 \leq 4t - 6$

Step2: Add 6 to both sides

$-8 + 6 \leq 4t - 6 + 6$
$-2 \leq 4t$

Step3: Divide by 4 on both sides

$\frac{-2}{4} \leq \frac{4t}{4}$
$\frac{-1}{2} \leq t$
(Equivalent to $t \geq -\frac{1}{2}$)

Answer:

$t \geq -\frac{1}{2}$