Solutions Linear Inequalities

Recall: an ordered pair solution to a linear inequality lives in the shaded area.

Give one possible ordered pair solution:

Answer explanation

There are many correct answers. Here are just a few possible answers:

Would an ordered pair on a dashed line be a solution?

• Yes

• No

Answer explanation

The dashed line means that we cannot include points on that line as solutions. They do not give a true statement when plugged into the inequality!

Check the boxes of solutions to the linear inequality: y>2x+1

Answer explanation

(5, -2) & (7, 5) are not in the shaded area

• Yes

• No

Answer explanation

(1, 3) is on the dashed line & cannot be included as a solution

Check the boxes of solutions to the linear inequality: 5x-3y≥1

Answer explanation

(-1, -1) is not in the shaded area.

• Yes

• No

Answer explanation

(-1, -2) is on the solid line so it can be included as a solution

Check the boxes of solutions to the linear inequality: 2x+y>5

• None of these

Answer explanation

(0, 0) & (-5, -2) are not in the shaded area.

(0, 5) & (2, 1) are both on the dashed line.

Check the boxes of solutions to the linear inequality: x+4y≤8

Answer explanation

(0, 0) is in the shaded area.

(0, 2), (8, 0) & (-8, 4) are all on the solid line.

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Which of the following is NOT a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)