Question

Which system of inequalities is shown in the graph

Answer 1

Answer:

Option D

Step-by-step explanation:

step 1

Find the equation of the inequality A (quadratic equation)

The quadratic equation is

$y=x^{2}-3x$

we know that

The solution of the inequality A is the shaded area above the solid line of the quadratic equation

so

The inequality is equal to

$y\geq x^{2}-3x$

step 2

Find the equation of the inequality B (linear equation)

The linear equation is

$y=-x+3$

we know that

The solution of the inequality B is the shaded area below the solid line of the linear equation

so

The inequality is equal to

$y\leq -x+3$