Question

On a piece of paper graph this system of inequalities. Then determine which region contains the solution to the system .

Answer 1

Region B

Explanation:

we have

`y\leq x-2` ----> inequality 1

The solution of the inequality 1 is the shaded area below the solid line 1

`y\geq (1)/(4)x-4` ----> inequality 2

The solution of the inequality 2 is the shaded area above the solid line 2

so

The solution of the system of inequalities is the shaded area below the solid line 1 and above the solid line 2

therefore

The solution is the region B

see the attached figure to better understand the problem