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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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:

Addition:

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

Subtraction:

If a<b, then ac<bc.

Multiplication:

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

2) If a<b and c<0 that is c is negative then ac>bc.

Division:

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

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