Question

Which ordered pairs are in the solution set of system of linear inequalities?

A:(5,-2),(3,1),(-4,2)
B:(5,-2),(3,-1),(4,-3)
C:(5,-2),(3,1),(4,2)
D:(5,-2),(-3,1),(4,2)

Answer 1

C

Explanation:

got it right

Answer 2

Option (3)

Explanation:

There are two inequalities graphed in the figure attached.

1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,

`y\geq -(1)/(2)x`

2). Another dotted line having shaded area below the line will be represented by the inequality,

`y<(1)/(2)x+1`

Common shaded area of these inequalities will be the solution area.

All the ordered pairs lying in this area will be the answer.

In the given options,

Ordered pairs given in Option (3) lie in the common shaded area.