Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3, Problem 35CR

To determine

To calculate: The solution of the inequality.

Expert Solution & Answer

Answer to Problem 35CR

The required solution is x:[23,1] .

Explanation of Solution

Given information:

The inequality: 3x2+2≤5x

Calculation:

The given inequality is 3x2+2≤5x .

Rewrite the above inequality as:

3x2+2≤5x3x2−5x+2≤0

Factorize the left hand side of the above inequality.

3x2−5x+2≤03x2−3x−2x+2≤03x(x−1)−2(x−1)≤0(x−1)(3x−2)≤0

Solve each factor for x .

x−1≤0x≤0

And,

3x−2≤03x≤2x≤23

From the above expression, we can get the solutions of x in interval [23,1] .

Hence, the required solution is x:[23,1] .

Chapter 3, Problem 34CR

Chapter 3, Problem 1CT

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

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