Houghton Mifflin Harcourt Algebra 1, 2015
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Exercise 8 Page 460

Think about positive and negative cases for the absolute value expression.

Equation I: 6(r-4)=4.8
Equation II: 6(r-4)=-4.8

Practice makes perfect

For an absolute value equation of the form |ax+b|=c, we have two cases. We must consider both the positive case and the negative case. Positive: &ax+b>0 ⇒ ax+b= c Negative: &ax+b< 0 ⇒ ax+b=- c Using the above, we can write the two equations that represent the given absolute value equation. Positive: &|6(r-4)|>0 ⇒ 6(r-4)=4.8 Negative: &|6(r-4)|< 0 ⇒ 6(r-4)=-4.8