Question

solve the inequality for q. write your answer in the
4q + 2 ≤ 6q - 5

Explanation:

Step1: Move terms with $q$ to left

$4q - 6q + 2 \leq -5$

Step2: Combine like terms for $q$

$-2q + 2 \leq -5$

Step3: Move constant to right

$-2q \leq -5 - 2$

Step4: Simplify right-hand side

$-2q \leq -7$

Step5: Divide by -2, reverse inequality

$q \geq \frac{7}{2}$

Answer:

$q \geq \frac{7}{2}$