What is the interval notation for 2w+4>-4 or 4w+2<26

Question

Solve the compound inequality 

Answer 1

Greetings! Lets solve this shall we ?

So, we must solve each inequality for w and put it into a compound inequality such that

2w + 4 > -4 and 4w + 2 < 26

-4 > -4 -2 < -2

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2w > -8 4w < 24

--- --- ---- -----

2 2 4 4

w > -4 w < 6

Interval notation: w > -4 => (-4,∞)

Interval notation: w < 6 => (-∞, 6)

Putting together will turn it into (-∞, -4) U (-4,6) or (-4,6)

I hope this helped!