Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
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Exercise 16 Page 231

How many cases do you have after you remove the absolute value?

0,- 4

Practice makes perfect
An absolute value measures an expression's distance from a midpoint on a number line. |r+2|= 2This equation means that the distance is 2, either in the positive direction or the negative direction. |r+2|= 2 ⇒ lr+2= 2 r+2= - 2 To find the solutions to the absolute value equation, we need to solve both of these cases for r.
| r+2|=2

lc r+2 ≥ 0:r+2 = 2 & (I) r+2 < 0:r+2 = - 2 & (II)

lcr+2=2 & (I) r+2=- 2 & (II)

(I), (II): LHS-2=RHS-2

lr_1=0 r_2=- 4
Both 0 and - 4 are solutions to the absolute value equation.