How do you solve and write the following in interval notation: #x + 1 > -2# and #x + 3 <8#?

1 Answer
Hihi
Nov 15, 2017

(-3 and 5)

Explanation:

For interval solutions, left brackets mean the lower boundary and right brackets mean the upper boundary, with [ ] meaning "including" and ( ) meaning "excluding".

(a)
#x+1# > #-2#
#x+1-1# > #-2-1#
#x# > #-3#
Hence, the answer is (-3

(b)
#x+3# < #8#
#x+3-3# < #8-3#
#x# < #5#
Hence, the answer is 5)

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