Question

Solve the inequality. 7q – 5 ≤ 10q + 19

Answer 1

Hey there.

7q - 5 $\leq$ 10q + 19
Get the variable to one side.
-5 $\leq$ 3q + 19
Isolate the variable.
3q $\geq$ 24
Solve for the variable.
q $\geq$ 8 is your answer.

I hope this helps!

Answer 2

7q - 5 ≤ 10q + 19
7q - 5 + 5 ≤ 10q + 19 + 5
7q ≤ 10q + 24
7q -10 ≤ 10q + 24 - 10
-3q ≤ 24 
-3q ÷ -3 ≤ 24 ÷ -3
q ≥ -8

Hope this helps!!
~Kiwi