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

Answer:

A) $(-3,-2)$

C)  $(-1,-2)$

E)  $(1,-2)$

F) $(1,2)$

Step-by-step explanation:

we have

$y$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

Verify

Point A) $(-3,-2)$

Substitute the value of x and value of y in the inequality an compare

$-2$

$-2$ -------> is true

The ordered pair $(-3,-2)$ is a solution of the inequality

Point B) $(-2,1)$

Substitute the value of x and value of y in the inequality an compare

$1$

$1$ -------> is not true

The ordered pair $(-2,1)$ is not a solution of the inequality

Point C) $(-1,-2)$

Substitute the value of x and value of y in the inequality an compare

$-2$

$-2$ -------> is true

The ordered pair  $(-1,-2)$  is a solution of the inequality

Point D) $(-1,2)$

Substitute the value of x and value of y in the inequality an compare

$2$

$2$ -------> is not true

The ordered pair $(-1,2)$ is not a solution of the inequality

Point E) $(1,-2)$

Substitute the value of x and value of y in the inequality an compare

$-2$

$-2$ -------> is true

The ordered pair  $(1,-2)$ is  a solution of the inequality

Point F) $(1,2)$

Substitute the value of x and value of y in the inequality an compare

$2$

$2$ -------> is true

The ordered pair  $(1,2)$ is  a solution of the inequality

Answer 2

(-3,-2) (-1,-2) (1,-2) (1,2)