Linear Inequalities

Linear Inequalities

We will be able to match a linear equality with the graph and find solutions to linear inequalities.

I will be able to participate in the Quizizz lesson.

Finding solutions to linear inequalities

• Remember any point in the shaded region is a solution and if it is a solid line then any of those points on the line are solutions.

• Any point that is NOT in the shaded region is not a solution and if it is a dashed line then any point that is on the line is a not solution.

Multiple Choice

Shade above or below?

y <

• Above

• Below

Multiple Choice

Shade above or below?
y ≥

• Above
• Below

Multiple Choice

Solid or dashed line?  
Y <

• Solid
• Dashed

Multiple Choice

Solid or dashed line?  
Y ≥

• Solid
• Dashed

Multiple Choice

Are the points on the 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

Multiple Choice

Choose the correct inequality for this graph.

Multiple Choice

Which of the following equations match the given graph?

• y ≤ -5/4 x + 3

• y ≥ -5/4 x + 3

• y < -5/4 x + 3

• y > -5/4 x + 3

Multiple Choice

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.

Multiple Choice

Which of the following equations match the given graph?

• y  < 2/5x + 1
• y ≥ -2/5x + 1
• y ≤  2/5x + 1
• y ≥ -2/5x - 1

Multiple Choice

• y < 5x + 1

• y > 5x + 1

• y ≤ 5x + 1

• y ≥ 5x + 1

Multiple Choice

Will my line be solid?
5 ≥ x

• Yes
• No

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Multiple Choice

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Multiple Choice

• y < -x - 5

• y > -x - 5

• y ≤ -x - 5

• y ≥ -x - 5