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 61 Page 47

Solution Set: All real numbers.
Graph:

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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.

|3z+15|≥ 0 This means any value of z will satisfy the inequality. Therefore, there are infinitely many solutions, and the solution set is the set of all real numbers.