Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Solve the inequality $x^{2} - 5 x \leq 24$ . Graph the solution set.

The solution set of given inequality is $[- 3, 8]$ and its graph is

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Using mathematical operations, solve the inequality.

First replace inequality symbol with an equality symbol.

$x^{2} - 5 x = 24 x^{2} - 5 x - 24 = 0$

Now factorize the quadratic equation.

Find two terms whose sum is -5x and multiplication $- 24 x^{2}$ .

$x^{2} - 8 x + 3 x - 24 = 0 x (x - 8) + 3 (x - 8) = 0$

Taking common terms out.

$(x - 8) (x + 3) = 0$ gives

$x - 8 = 0 o r x + 3 = 0 x = 8 o r x = - 3$

As the inequality was not strict in question, so the solution set of $x^{2} - 5 x \leq 24$ will be $- 3 \leq x \leq 8$ or $[- 3, 8]$ .

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Solve the inequality $x^{2} - 5 x \leq 24$ . Graph the solution set.

Step by Step Solution

Step 1. Using mathematical operations, solve the inequality.

Step 2. The graph to show the solution set of x2-5x≤24 is as follows.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Solve the inequality x2-5x≤24. Graph the solution set.

Step by Step Solution

Step 1. Using mathematical operations, solve the inequality.

Step 2. The graph to show the solution set of x2-5x≤24 is as follows.

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Solve the inequality $x^{2} - 5 x \leq 24$ . Graph the solution set.