Question

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

Answer 1

Option A.

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`