Which system of inequalities is shown in the graph

Question

asked Mar 7, 2020 69.2k views

2 Answers

Joseph Charles · Answer 1 · 2020-03-12T00:21:39+0000

Answer:

Option D

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

$y\leq -x+3$