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Pearson Algebra 1 Common Core, 2011 View details

4. Graphing a Function Rule

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Exercise 52 Page 259

Can the absolute value of a number be negative?

No solution.

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Before we can solve this equation, we need to isolate the absolute value expression using the Properties of Equality.

-3|4q|=10

DivEqn

.LHS /-3.=.RHS /-3.

|4q|≠-10/3

An absolute value measures an expression's distance from a midpoint on a number line. Since distance cannot be negative, the absolute value of a number cannot be negative. |4q|≠ -10/3 An absolute value cannot be equal to - 103, so this absolute value equation has no solution.