body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

PA

Pearson Algebra 1 Common Core, 2011 View details

4. Graphing a Function Rule

Finish the assignment

Continue to next subchapter

Exercise 49 Page 259

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

-7,1

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |x+3|= 4This equation means that the distance is 4, either in the positive direction or the negative direction. |x+3|= 4 ⇒ lx+3= 4 x+3= - 4 To find the solutions to the absolute value equation, we need to solve both of these cases for x.

| x+3|=4

lc x+3 ≥ 0:x+3 = 4 & (I) x+3 < 0:x+3 = - 4 & (II)

lcx+3= 4 & (I) x+3=- 4 & (II)

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

lx_1=1 x_2=- 7

Both 1 and -7 are solutions to the absolute value equation.