Chapter A.3, Problem 25E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercises 18 to 28, first solve each inequality. Then draw a number line graph of the solutions. x 3 − x 2 ≤ 4

To determine

To solve:

To solve the following inequality and draw the number line,

x3x24

Explanation

Consider the following inequality,

x3âˆ’x2â‰¤4

First take LCM on left side of the inequality to get the following,

2x6âˆ’3x6â‰¤42xâˆ’3x6â‰¤4

Then multiply by 6 on both sides to get the following,

6(2xâˆ’3x)6â‰¤4â‹…62xâˆ’3xâ‰¤24âˆ’xâ‰¤24

Then multiply by âˆ’1 on both

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