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Why do you not change the inequality sign when solving #9x > - \frac{3}{4}#?

Answer 1

You aren't dividing or multiplying by a negative

To solve the inequality, you have to isolate #x# by dividing by #9#, which is a positive number.

If the inequality had been: #-9x# > #-3/4#, then #-9# would have to be divided from each side and the sign would have to be flipped to <.

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Answer 2

Avery Alexander

The inequality sign remains unchanged when solving 9x > -3/4 because you are multiplying or dividing both sides of the inequality by a positive number (9 in this case), which does not change the direction of the inequality.

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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.

Why do you not change the inequality sign when solving #9x &gt; - \frac{3}{4}#?

Why do you not change the inequality sign when solving #9x > - \frac{3}{4}#?