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How do you solve the inequality #9 - x > 10#?

Answer 1

#x < -1#

You first substract 9 at both sides. So #9 - x > 10 iff -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 iff (-1)*(-x) < -1 iff x < 1#

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Answer 2

Genesis Allen

Isolate x to solve the inequality

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

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Answer 3

Avery Alexander

To solve the inequality 9 - x > 10, you first subtract 9 from both sides to isolate the term with x. This yields -x > 10 - 9, which simplifies to -x > 1. Then, divide both sides by -1, remembering to flip the inequality sign when dividing by a negative number. So, x < 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve the inequality #9 - x &gt; 10#?

How do you solve the inequality #9 - x > 10#?