How do you solve the inequality 9−x>10?

2 Answers
Topscooter
Dec 27, 2015

x<−1

Explanation:

You first substract 9 at both sides. So 9−x>10⇔−x>1. You then multiply both sides by −1 in order to have the inequality for x. Be careful, opposites and quotients change the direction of an inequality!

So −x>1⇔(−1)⋅(−x)<−1⇔x<1

Noah G
Dec 27, 2015

Isolate x to solve the inequality

Explanation:

9 - x > 10
-x > 1
x < -1 *

*Always flip the inequality sign's direction when dividing the constant term on one side by a negative coefficient of x.

The answer is x < -1

Have a good day!

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