Question

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Answer 1

Answer:

Option D $y\leq -3x-3$ and $y$

Step-by-step explanation:

step 1

Find the equation of the inequality A

we know that

The solution of the inequality A (dashed line)  is the shaded area below the dashed line

The equation of the dashed line is $y=-\frac{1}{2}x+2$

therefore

The equation of the inequality A is $y$

step 2

Find the equation of the inequality B

we know that

The solution of the inequality B (solid line)  is the shaded area below the solid line

The equation of the solid line is $y=-3x-3$

therefore

The equation of the inequality B is $y\leq -3x-3$

The system of linear inequalities is

$y\leq -3x-3$ and $y$