Graphing in Inequalities

Choose the correct inequality for this graph.

Choose the correct inequality for this graph.

Choose the correct inequality for this graph.

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.

Determine whether point A is a solution to the linear inequality that is shown.

• Yes, because it is on the line.

• No, because it is on the line.

• Maybe, but it depends on what the inequality is.

• Maybe not, but it depends on what the inequality is.

Tell whether the ordered pair is a solution of the inequality.

• Yes, it is a solution

• No, is is not a solution

Match the inequality to the graph.

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥