How do you graph and solve #|4y+3| -8<= -3#?

1 Answer
Narad T.
Oct 17, 2016

#-2<=y<=1/2#

Explanation:

Rearranging the equation
#∣4y+3∣<=8-3<=5#
So we have to solve
#∣4y+3∣<=5#
The solutions are
#4y+3<=5# and #-(4y+3)<=5#
So we have to solve
#4y<=2# and #-4y-3<=5#
#y<=1/2# and #4y>=-8# =>#y>=-2#
So the solutions are #-2<=y<=1/2#
Checking, if y=0
LHS =#3-8=-5#
RHS =#-3#
so #LHS<=RHS#

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1270 views around the world
You can reuse this answer
Creative Commons License