How do you solve and write the following in interval notation: #4 ≤ 3 − x <8#?

1 Answer
Jim G.
Aug 7, 2017

#(-5,-1]#

Explanation:

#"isolate x in the middle interval by subtracting 3 from all 3"#
#"intervals"#

#4-3<=3-3-x<8-3#

#rArr1<=-x<5#

#"multiply all 3 intervals by - 1 remembering to reverse the"#
#"inequality signs"#

#rArr-1>=x> -5larrcolor(red)" reverse signs"#

#"in interval notation as "(-5,-1]#

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