How do you solve <mstyle displaystyle="true"> 3 &gt; h -

Blericker74 2022-07-03 Answered
How do you solve 3 > h - 2 and graph the solutions?
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Answers (1)

potamanixv
Answered 2022-07-04 Author has 15 answers
Step 1
Multiply each side of the inequality by -2 to solve for h while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:
- 2 × 3 < - 2 × h - 2
- 6 < - 2 × h - 2
- 6 < h
We can state the solution in terms of h by reversing or "flipping" the entire inequality:
h > - 6
To graph this we will draw a vertical line at -6 on the horizontal axis.
The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

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