Question

Which of the following could be the system of nonlinear inequalities graphed below?

Answer 1

Answer:

Option A.

Step-by-step explanation:

step 1

we know that

The equation of the solid line is

$y=5$

The solution is the shaded area above the solid line

so

The equation of the first inequality is

$y\geq 5$

step 2

The equation of the dashed line is

$y=x^{2} -5x+6$

The solution is the shaded area above the dashed line

so

The equation of the second inequality is

$y>x^{2} -5x+6$

therefore

The system of inequalities could be

$y\geq 5$

$y>x^{2} -5x+6$