How do you solve #- 5| x + 1| = -10#?
1 Answer
Nov 24, 2017
Explanation:
#"divide both sides by "-5#
#cancel(-5)/cancel(-5)|x+1|=(-10)/(-5)#
#rArr|x+1|=2#
#"the value inside the absolute value function can"#
#"be positive or negative"#
#"hence there are 2 possible solutions"#
#color(blue)"first solution"#
#x+1=2rArrx=2-1=1#
#color(blue)"second solution"#
#-(x+1)=2#
#rArr-x-1=2#
#rArr-x=2+1=3rArrx=-3#
#color(blue)"As a check"#
#x=1to-5|2|=-5xx2=-10larr"True"#
#x=-3to-5|-3+1|=-5|-2|==-10larr"True"#