How do you solve abs(x-3)=2?
2 Answers
Mar 24, 2018
Explanation:
Mar 24, 2018
Explanation:
"the expression inside the absolute value can be positive"
"or negative, thus there are 2 possible solutions"
color(blue)"Positive"
x-3=2rArrx=2+3=5
color(blue)"Negative"
color(red)(-)(x-3)=2larrcolor(blue)"distribute"
-x+3=2
rArr-x=2-3=-1rArrx=1
color(blue)"As a check"
x=5to|5-3|=|2|=2larrcolor(blue)"True"
x=1to|1-3|=|-2|=2larrcolor(blue)"True"
rArrx=5" or "x=1" are the solutions"