Systems of Inequalities Notes

Systems of Linear Inequalities

by Lauren Wisehart

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Multiple Choice

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >
• ≤, ≥ 

Multiple Choice

When you graph an inequality, you used a solid line when you use which symbols?

• ≤, ≥ 
• <, >

Multiple Choice

How would you graph the following linear inequality?

$$y\ ≤\ \frac{4}{3}x\ -\ 4$$  

• Dashed line, shade above

• Dashed line, shade below

• Solid line, shade above

• Solid line, shade below

Multiple Choice

• y < 2x - 5

• y > 2x - 5

• y ≤ 2x - 5

• y ≥ 2x - 5

Multiple Choice

Which of the following inequalities matches the given graph?

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

Multiple Choice

Select the correct graph for each inequality.

• A

• B

• C

• _D

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Select

Which point below is part of the solution set?

• (3, 5)
• (0, 5)

Youtube Video ​

https://youtu.be/ACTxJv1h2_c?si=tWKY5mRF9hpaBCcq

Multiple Choice

Which of the following is a solution to the systems of inequalities?

• (-1, -3)

• (3, 0)

• (-2, 2)

• (4, 1)

Multiple Choice

Which ordered pair(s) is a solution to the given system?

• (5, -5)
• (0,0)
• (-5, -2)
• (3,-3)

Multiple Choice

Which of the following is a solution to the systems of inequalities?

• (1, -5)

• (2, 3)

• (-2, 3)

• (-1, 1)

Multiple Choice

Which ordered pair(s) is a solution to the given system?

• (5,0)
• (1,-3)
• (3,3)
• (2,1)

Multiple Choice

Is (0,0) a solution to the system?

• Solution
• Not a solution

Multiple Choice

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Multiple Choice

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3
• y>2x-1
  y≤-2x+3
• y<2x-1
  y≥-2x+3
• y≤2x-1
  y>2x+3

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Which of the following systems would have the solution set shown in the graph?  [Look at all the answer choices carefully!]

• y > x + 4  and  y > –x – 1

• y < x + 4  and  y > –x – 1

• y < x + 4  and  y > –x + 1

• y > x + 4  and  y > x – 1