Question

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

Answer 1

`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).`