Understanding linear inequalities in two variables

Which point is a solution to the following system: 2y < 4x - 6 and y < 1/2x + 1

• (4, -2)

• (0, 0)

• (6, 5)

• (-2, 4)

Identify ALL of the solutions for the inequality.

 $3x\ -\ y\ >3$  

• (4, 0)

• (0, -3)

• (2, -3)

• (0, 0)

• (1, 3)

• (2, 1)

• (3, 4)

• (6, 2)

The graph of y ≤ -2x + 4 is shown.
Which set contains only points that satisfy the inequality?

• {(0, 0), (1, 2), (3, -3)}
• {(0, 0), (1, 2), (7, -2)}
• {(3, 3), (1, 2), (3, -3)}
• {(0, 0), (2, 1), (3, -3)}

• (1, -8)

• (3, 5)

• (-4, 2)

• (-7, 9)

• (-12, 0)

Select the following coordinate(s) that are in the solution set of the following inequalities.

4x + 3y > -6

x - 3y ≤ -9

• (0, 3)

• (2, 2)

• (-3, -4)

• (4, 3)

Does the point (1,3) satisfy the graphed inequality?

• Yes

• No

Which ordered pair is a solution of y < x + 1?

• (0, 2)

• (1, 3)

• (2, 3)

• (3, 3)

• A
• B
• C
• D

When you graph the system:
y > -2x + 1
y≤ x + 3
Which of the following is a solution?

• (2, 0)
• (-1, 2)
• (0, 4)
• (0, -4)