How do you solve and graph abs(a-5)<3|a−5|<3?
1 Answer
Mar 16, 2017
Explanation:
The standard form for
|x| < a |x|<a is.
-a < x < a−a<x<a This is used in the question here.
rArr-3 < a-5 < 3⇒−3<a−5<3 Isolate a in the centre interval by adding 5 to ALL 3 intervals.
rArr-3+5 < acancel(-5)cancel(+5) < 3+5
rArr2 < a < 8larr" is the solution"
To show the solution on a number line place
The solution is the values
color(blue)"between" 2 and 8 which is denoted by a heavy line drawn between the 2 open circles.