Respuesta :

Equanimity
Hey there.

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

I hope this helps!
gypsyhorse4me
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