Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
3. Multiplying Binomials
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Exercise 53 Page 503

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

A

Practice makes perfect
An absolute value measures an expression's distance from a midpoint on a number line. |x+3|= 7This equation means that the distance is 7, either in the positive direction or the negative direction. |x+3|= 7 ⇒ lx+3= 7 x+3= - 7 To find the solutions to the absolute value equation, we need to solve both of these cases for x.
| x+3|=7

lc x+3 ≥ 0:x+3 = 7 & (I) x+3 < 0:x+3 = - 7 & (II)

lcx+3=7 & (I) x+3=- 7 & (II)

(I), (II): LHS-3=RHS-3

lx_1=4 x_2=- 10
Both 4 and -10 are solutions to the absolute value equation. So the correct answer is A.