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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

6. Absolute Value Equations and Inequalities

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Exercise 34 Page 46

Absolute values are always non-negative.

Solution Set: All real numbers.
Graph:

Practice makes perfect

All absolute value expressions are greater than or equal to zero. It follows then that any absolute value expression is greater than all negative numbers.

|2x+1|≥ 0 ⇒ |2x+1|≥-9 This means any value of x will satisfy the inequality. Thus, there are infinitely many solutions, and the solution set is the set of all real numbers. We can represent this graphically on a number line by showing that all values are included in the solution set, so all values are shaded.

Subchapter links

Lesson Check p.45

Practice and Problem-Solving Exercises p.46-48

Standardized Test Prep p.48

Mixed Review p.48