Linear Inequality Graphing with Two Variables

Transform 3𝑥 − 2𝑦 < 7 into slope- intercept form.

• 𝑦 < 3/2 𝑥 + 7/2

• 𝑦 > 3/2 𝑥 + 7/2

• 𝑦 > 3/2 𝑥 − 7/2

• 𝑦 > 2/3 𝑥 − 7/3

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

What type of line is used with the following symbols, < and >?

• dashed or dotted

• solid

Which point below is NOT part of the solution set?

• (0, -2)

• (1, 1)

• (3, 3)

• (2, 10)

Which point below is NOT part of the solution set?

• (3, 4)

• (0, 4)

• (-2, 6)

• (6, 2)

The inequality, y < 2, will make what type of line?

• solid, horizontal

• solid, vertical

• dashed, horizontal

• dashed, vertical

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Is (-1, 0) a solution to this inequality?

• Yes

• No

Is (-2, 4) a solution to this inequality?

• Yes

• No