Solve Systems of Inequalities by Graphing

Solve Systems of Inequalities by Graphing

Using what you know about graphing/solving equations, but now thinking about "opened" or "closed", "solid" or "dashed"

If you are unsure about how to graph one inequality at a time, watch the next video before moving on...

Make sure to watch this video AT LEAST once and take notes before doing the practice items. Bring your questions to the very next Google Meet.

Multiple Choice

In an equation or inequality, you want to get the variable...

• on one side

• to disappear

• isolated (by itself)

Multiple Choice

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

• ≤, ≥ 
• <, >

Multiple Choice

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

• <, >
• ≤, ≥ 

Multiple Choice

Which system of inequality is shown?

• y > -1/5x - 1/2  
   y ≥ -2x - 4
• y > -1/5x - 1/2  
   y ≤ -2x - 4
• y ≥ -1/5x - 1/2
   y ≤ -2x - 4
• y < -1/5x - 1/2  
  y ≥ -2x - 4

Multiple Choice

Write an inequality represented by the graph.

• x < - 3
• y < - 3
• x > - 3
• x ≥ - 3

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (5, 1)
• (-1, -3)
• (20, -5)

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Multiple Choice

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

Multiple Select

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Multiple Choice

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Multiple Choice

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Multiple Select

Identify all solutions for the graph

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)