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)

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asked May 3, 2017 195k views

2 Answers

Deplake · Answer 1 · 2017-05-09T22:37:59+0000

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.