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25-10-2016
Mathematics

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What is the solution to the compound inequality 5x + 7 > −8 and 3x + 7 ≤ 19?

it is confusing me

Verified Answer :

apologiabiology apologiabiology

25-10-2016

solve for x in each

5x+7>-8
minus 7
5x>-15
divide both sides by 5
x>-3

3x+7≤19
minus 7 both sides
3x≤12
divide 3
x≤4
we have
x>-3 and x≤4
compound is any value that satisfys both

x>-3 and x≤4
-3<x≤4
-3 to 4, not including -3, but including 4

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