First, isolate the variable by subtracting 4 from both sides of the inequality:
4x + 4 > –20
4x > –20 - 4
4x > -24
x > -6
The solution is x > -6. This means x is greater than -6.
Looking at the number lines provided, Graph B shows the solution set of x > -6. This graph has an open circle at -6 with everything shaded to the right, which represents all values greater than -6.
4 number lines going from negative 8 to positive 8. Graph A has an open circle at negative 4 with everything shaded to the right of the circle. Graph B has an open circle at negative 6 with everything shaded to the right. Graph C has an open circle at 6 with everything shaded to the left. Graph D has an open circle at 4 with everything shaded to the left.
Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
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