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

User Ljubitel
by
5.2k points

2 Answers

5 votes
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!
User The Swine
by
5.8k points
3 votes
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
User Venkat Maridu
by
5.1k points