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How do you write the inequality and solve "the product of -5 and a number is greater than 35 or less than 10#?

Answer 1

Avery Alexander

#x<-7# or #x > -2#

Let #x# be "the number."

The product of #-5# and a number can be represented as #-5x#.

We know that #-5x>35\rightarrow x<-7#. (Don't forget to change the sign when you divide by a negative!)

We also know that #-5x<10\rightarrow x> -2#. (We flipped the sign again.)

So the solution is #x<-7# or #x> -2#.

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Answer 2

Eva Adamson

The inequality is -5x > 35 or -5x < 10. To solve it, we first solve each part separately: - For -5x > 35, divide both sides by -5, giving x < -7. - For -5x < 10, divide both sides by -5, giving x > -2. So, the solution is x < -7 or x > -2.

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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.