How do you solve #abs(t+6)=4#?
1 Answer
Sep 18, 2016
Explanation:
The value inside the
#color(blue)"absolute value"# can be positive or negative but always produces a positive answer.For example :
#|-4|=4" and" |4|=4# The absolute value informs us about how far the number is from the origin with no consideration of it's direction.
#- 4 and + 4 " are both 4 units from the origin."# This is also true for algebraic expressions inside the absolute value bars, so
#t+6=4rArrt=4-6rArrt=-2# and
#-(t+6)=4rArr-t-6=4# add 6 to both sides.
#-tcancel(-6)cancel(+6)=4+6#
#rArr-t=10rArrt=-10# Check :
#t=-2rArr|-2+6|=|4|=4# and
#t=-10rArr|-10+6|=|-4|=4# Thus solutions are t = - 10 and t = - 2
