How do you solve and write the following in interval notation: -19<10-x<=-11?

1 Answer
Jun 14, 2016

21<=x<29.
Interval Form : x in [21,29).

Explanation:

Given that, -19<10-x<=-11.
We add -10 in the inequality (ineql.) to get, -29<-x<=-21.
Then, we multiply this ineql. by -1, a negative number, causing reversal of the order, 29>+x>=21,,i.e., 21<=x<29.

We can write this in Interval Form as x in [21,29).