BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 19RCC
To determine

State the rules for working with inequalities.

Expert Solution

Answer to Problem 19RCC

if c>0 then ca<cb

If c<0 then, ca>cb

Explanation of Solution

Given information:

State the rules for working with inequalities.

Calculation:

The rules are same for inequalities as for equalities. The first rule involves adding or subtracting a value from both sides of an inequality. If says that value of inequality remains same.

If a,b,c are real numbers, and a>b then,

  a+c<b+cac<bc

If a constant is multiplied both sides of an equality, if the constant is positive then the direction of inequality is unchanged. if the constant is negative then the direction of inequality is changed.

If a,b,c are real numbers, and a<b if c>0 then

if c>0 then ca<cb

If c<0 then, ca>cb

Hence,

if c>0 then ca<cb

If c<0 then, ca>cb

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