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
