Question

linear inequalities (level 1)
score: 0/2 penalty: none
question
solve the following inequality for t. write your answer in simplest form.
5t - 8 ≤ 9t - 6
answer attempt 1 out of 2
t <
submit answer

Explanation:

Step1: Move terms with t to one - side

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

Step2: Combine like - terms

$-4t\leq2$

Step3: Solve for t

Divide both sides by - 4. When dividing an inequality by a negative number, the direction of the inequality sign changes. So $t\geq\frac{2}{-4}$, which simplifies to $t\geq-\frac{1}{2}$.

Answer:

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