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

Question

2141 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-29T16:32:05

May 29, 2018

#y = abs(x)#

Answer 2 · 2018-05-29T16:32:59

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

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}#.