Question

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded. Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)

Answer 1

C

Explanation:

(2,1)

Answer 2

Option C.

Explanation:

A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).

The given inequality is

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

We need find the point which is a solution to the given linear inequality.

Check the given inequality for point (2, 3).

`3<-(1)/(2)(2)+2`

`3<1`

This statement is false. Option 1 is incorrect.

Check the given inequality for point (2, 1).

`1<-(1)/(2)(2)+2`

`1<1`

This statement is false. Option 2 is incorrect.

Check the given inequality for point (3, -2).

`-2<-(1)/(2)(3)+2`

`-2<0.5`

This statement is false. Option 3 is correct.

Check the given inequality for point (-1,3).

`3<-(1)/(2)(1)+2`

`3<1.5`

This statement is false. Option 4 is incorrect.

Therefore, the correct option is C.