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 1.7, Problem 103E

a.

To determine

To solve: the given inequality for x where a,b,c,and d are positive numbers.

Expert Solution

Answer to Problem 103E

  xc(b+a)ab .

Explanation of Solution

Given:

The given condition is a,b,c,and d are positive numbers such that a(bxc)bc .

Calculation:

According to the question, the given inequality is

  a(bxc)bc .

The inequality is expressed as

  a(bxc)bcabxacbc{open the parenthesis}abxac+acbc+ac{addaconboththesides}abxbc+acxbc+acabxc(b+a)ab

Hence, the value of given inequality is xc(b+a)ab .

b.

To determine

To solve: the given inequality for x where a,b,c,and d are positive numbers.

Expert Solution

Answer to Problem 103E

  xc3ab .

Explanation of Solution

Given:

The given condition is a,b,c,and d are positive numbers such that a(bxc)bc .

Calculation:

According to the question, the given inequality is

  abx+c<2a .

The inequality is expressed as

  abx+c<2abxa+c2a<0{add2aonboththesides}bx3a+c{simplify}xc3ab

Hence, the value of given inequality is xc3ab .

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