Question

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

it is confusing me

Answer 1

x>-3 and x≤4

Explanation:

took the test

Answer 2

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