Question

A student simplifies the compound inequality 4r - 7 > 16 or 5 - 3r < 12 to 4r > 23 or -3r < 7. Which step did the student perform?

Answer 1

1. add 7 to both sides

2. subtract 5 from both sides

Explanation:

1. 4r - 7 > 16 to 5 - 3r < 12

2. 4r > 23 to -3r < 7

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1. 4r - 7 > 16 can be converted to

4r > 23 by adding 7 to both sides.

2. 5 - 3r < 12 can be converted to

-3r < 7 by subtracting 5 from both sides.