On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 0) and (0, 2). everything below the line is shaded. which points are solutions to the linear inequality y < 0.5x + 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)

(–3, –2)

(–1, –2)

(1, –2)

Step-by-step explanation:

we know that

If a ordered pair is a solution of the linear inequality, then the ordered pair must satisfy the inequality. The ordered pair must lie on the shaded are of the solution set

we have

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

Verify each ordered pair

Substitute the value of x and the value of y in the inequality and then compare the results

case 1)  (–3, –2)

----> is true

so

The ordered pair satisfy the inequality

therefore

The ordered pair is a solution of the inequality (the ordered pair lie on the shaded area of the solution set)

case 2)  (–2, 1)

----> is not true

so

The ordered pair not satisfy the inequality

therefore

The ordered pair is not a solution of the inequality (the ordered pair not lie on the shaded area of the solution set)

case 3)  (–1, –2)

----> is true

so

The ordered pair satisfy the inequality

therefore

The ordered pair is a solution of the inequality (the ordered pair lie on the shaded area of the solution set)

case 4)  (–1, 2)

----> is not true

so

The ordered pair not satisfy the inequality

therefore

The ordered pair is not a solution of the inequality (the ordered pair not lie on the shaded area of the solution set)

case 5)  (1, –2)

----> is true

so

The ordered pair satisfy the inequality

therefore

The ordered pair is a solution of the inequality (the ordered pair lie on the shaded area of the solution set)

see the attached figure to better understand the problem

step-by-step explanation:

hi there! my name is zalgo and i am here to you out today. the answer is pretty simple (in a way). this equation equals to 25.2!

i hope this answer !

"stay and stay proud! " - zalgo