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solve the inequality using interval notation

9 (2x+5)>9
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2 Answers

Treat the inequality like an equal sign until you divide or multiply by a negative. Order of operations requires you to first distribute the 9 that's on the left. Your result is 18x+45>9
You still want to isolate (x) so the next step would be to subtract 45 from both sides. Your result is 18x>-36
The last step is to divide both sides by (18) because that's the only thing blocking (x) from being alone on the left side. Your result is x>-2
9(2x + 5) > 9
18x + 45 > 9
18x > 9 - 45
18x > -36
x > -2
Interval {-2, ∞]