Chapter A.3, Problem 17E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Suppose that you are solving an inequality. Complete the chart by indicating whether the inequality symbol should be reversed or kept by writing “ change” or “no change.” Positive Negative Add Subtract Multiply Divide

To determine

To complete:

The chart by indicating whether the inequality symbol should be reversed or kept by writing “ change” or “no change.”

Explanation

Consider the following table,

 Positive Negative Add Subtract Multiply Divide

Operation on inequalities:

If a<b, then a+c<b+c.

Subtraction:

If a<b, then aâˆ’c<bâˆ’c.

Multiplication:

1) If a<b and c>0 that is c is positive then aâ‹…c<bâ‹…c.

2) If a<b and c<0 that is c is negative then aâ‹…c>bâ‹…c.

Division:

1) If a<b and c>0 that is c is positive then ac<bc

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