Question

Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2) (1, 2)

Answer 1

A. B. & E.

Explanation:

Answer 2

Check all points for being the solutions of inequality
`y<0.5x+2`:

1. For point (–3, –2) you have that x=-3 and y=-2, then

`-2<0.5\cdot (-3)+2=-1.5+2=0.5` - true.

2. For point (–2, 1) you have that x=-2 and y=1, then

`1\le 0.5\cdot (-2)+2=-1+2=1` - false.

3. For point (–1, –2) you have that x=-1 and y=-2, then

`-2<0.5\cdot (-1)+2=-0.5+2=1.5` - true.

4. For point (–1, 2) you have that x=-1 and y=2, then

`2>0.5\cdot (-1)+2=-0.5+2=1.5` - false.

5. For point (1, –2) you have that x=1 and y=-2, then

`-2<0.5\cdot 1+2=0.5+2=2.5` - true.

6. For point (1, 2) you have that x=1 and y=2, then

`2<0.5\cdot 1+2=0.5+2=2.5` - true.

Answer: points (–3, –2), (–1, –2), (1, –2), (1, 2) apply.