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 15 Page 46

Remember that the absolute values are always non-negative.

No solution.

Practice makes perfect
All absolute value expressions are greater than or equal to zero. It follows then that no absolute value expression can be less than or equal to a negative number.

|2x-3|≥ 0 ⇒ |2x-3| ≠ - 1 This means there is no value of x that will satisfy the inequality. Therefore, there is no solution.