graphing linear inequalities

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.

Answer explanation

Points are solutions on solid lines as they are included with > and <

Points are not solutions on solid lines as they are not included with > and <

According to the graph, which point is a solution? Choose all that apply.

• (0, 0)

• (4, 2)

• (-1, -5)

• (-3, 0)

Which of the following is "NOT" a solution for the inequality?

y ≤ 5x - 1

• (0, -3)

• (5, 24)

• (-2, -15)

• (1, 7)

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Answer explanation

Points are solutions on solid lines as they are included with > and <

Points are not solutions on solid lines as they are not included with > and <

How can I tell if an inequality will have a solid line? Choose all that apply

• The symbol is "less than"

• The symbol is greater than.
• The symbol is "less than or equal to."

• The symbol is "greater than or equal to."

Answer explanation

solid lines are with > and <

dashed lines are with > and <

Rewrite the equation into slope intercept form where y is alone on the left

3x - y > 4

• y > 3x - 4

• y < -3x + 4

• y < 3x - 4

• y > -3x + 4

Which of the following is true of the given graph?

y ≥ -2x + 1

• The graph is a dotted line, shaded above.

• The graph is a solid line, shaded above.

• The graph is a dotted line, shaded below.

• The graph is a solid line, shaded below.

Answer explanation

solid lines are with > and <

dashed lines are with > and <

shade above with > and >

shade below with < and <

Will my line be solid?
5 ≥ x

• Yes
• No

Answer explanation

solid lines are with > and <

dashed lines are with > and <

y < x - 2 will have what kind of line?

• dashed

• solid

Answer explanation

solid lines are with > and <

dashed lines are with > and <

• A dotted line

• A solid line

• Shade up

• Shade down

Answer explanation

solid lines are with > and <

dashed lines are with > and <

shade above with > and >

shade below with < and <