10:52 3 73% Solving Inequalities Try it A + + -8 6 4 2 0 2 4 Isolate the variable to solve 4x + 4 >-20. Which number line shows the solution set? 6 8 B + -8 6 -4 -2 0 2 4 - 6 8 C O + 6 -8 -6 -4 -2 0 2 4 8 D + -8 -6 -4 -2 0 4 8 N

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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