Question

Which point is a solution to the linear inequality y < Negative one-halfx + 2?

Answer 1

Answer:

Your answer choices are:

(2, 3)

(2, 1)

(3, –2)

(–1, 3)

Step-by-step explanation:

YOUR ANSWER IS

(3, -2)

I hope this helps!

Answer 2

Answer:

The solution in the attached figure

see the explanation

Step-by-step explanation:

we have

$y < -\frac{1}{2}x+2$

The solution of the inequality is the shaded area below the dashed line

$y=-\frac{1}{2}x+2$

The slope of the dashed line is negative $m=-\frac{1}{2}$

The y-intercept of the dashed line is the point (0,2)

The x-intercept of the dashed line is the point (4,0)

using a graphing tool

The solution in the attached figure

Remember that

Any point that lie on the shaded area is a solution of the inequality and if a point is a solution of the linear inequality, then the point must satisfy the inequality