How do you solve the inequality #5(2m-4)-5<55#?

Answer 1

#m<8#

#5(2m-4)-5<55#

Expand

#10m-20-5<55#

Group

#10m<55+20+5#
#10m<80#
Divide both sides by #10#
#m<8 #

So

#m={7,6,5,4,3,...}#
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Answer 2

To solve the inequality (5(2m - 4) - 5 < 55), follow these steps:

  1. Distribute the 5 on the left side: [10m - 20 - 5 < 55]

  2. Combine like terms: [10m - 25 < 55]

  3. Add 25 to both sides to isolate (10m): [10m < 80]

  4. Divide both sides by 10 to solve for (m): [m < \frac{80}{10}]

  5. Simplify: [m < 8]

Therefore, the solution to the inequality is (m < 8).

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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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