Systems of Linear Inequalities

Fewer Than

• <
• >
• ≤
• ≥

At Least

• <
• >
• ≤
• ≥

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

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.

Match: the overlap is on the left!

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 4
• y > 3x   and  y < -2x + 4

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Which point is not a solution?

• (1, 3)
• (-1, 2)
• (3, -2)
• (5, 0)

Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4

• Between the graphs
• above the graph y > x + 1
• below the graph y < x - 4
• No Solution

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Match

• y ≥ x - 1 and y < -x + 4
• y < -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4
• y > x - 1 and y ≥ -x + 4