How do you solve #20-3h< -8#?

Answer 1

#h > 28/3#

Treat an inequality as an equation, unless you multiply or divide by a negative number, in which case the sign in the middle changes around.

#20-3h <-8#
#20+8 < 3h#
#28 < 3h#
#28/3 < h#
This is the same as #h > 28/3#
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Answer 2

To solve the inequality 20 - 3h < -8:

  1. Subtract 20 from both sides: -3h < -8 - 20 -3h < -28

  2. Divide both sides by -3. Since dividing by a negative number flips the inequality sign: h > -28 / -3

  3. Simplify: h > 28/3

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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.

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.

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.

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.

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