How do you write an absolute value inequality to represent [-10,10]?

2 Answers
May 29, 2018

#y = abs(x)#

May 29, 2018

# [-10,10]={x in RR : |x| le 10}#.

Explanation:

We know that, # [a-delta,a+delta]={x in RR : |x-a| le delta}#,

where, #x, a, delta in RR and delta gt 0#.

We have, #a-delta=-10, a+delta=10," so that, "a=0, delta=10#.

#:. [-10,10]={x in RR : |x| le 10}#.