A1 4-4 Linear Inequalities in Two Variables

By Erica Nafziger

A1 4-4 Linear Inequalities in Two Variables

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ESSENTIAL QUESTION:

How does the graph of a linear inequality in two variables help you identify the solutions of the inequality?

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Multiple Choice

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

• Dashed or Dotted

• Solid

Multiple Choice

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

• Dashed or Dotted

• Solid

Multiple Choice

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

• solid, horizontal

• dashed, vertical

• dashed, horizontal

• solid, vertical

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)

• (-1, 5)

• (-10, -10)

• (5, 20)

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)

• (-1, -3)

• (5, 1)

• (20, -5)

Multiple Choice

Select the solution of the inequality

Multiple Choice

Choose the correct inequality for this graph.

• y>2x−3

• y<2x−3

• y≥2x−3

• y≤2x−3

Multiple Choice

Choose the correct inequality for this graph.

• y<−1

• x<−1

• y≤−1

• x≤−1

Multiple Choice

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift.

Write an inequality that describes the situation.

Let x = # of apples

Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y > 24

• 3x + 2y ≤ 24

• 3x + 2y ≥ 24

Open Ended

Answer the essential question: How does the graph of a linear inequality in two variables help you identify the solutions of the inequality?

Poll

How comfortable are you with what you learned in this lesson?

• Did not understand it at all.

• I need a little more practice.

• I think I got it.

• I could teach it to others.