Solving Linear Inequalities Review

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

• ≤, ≥ 
• <, >

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

• <, >
• ≤, ≥ 

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, 20)
• (3, 5)
• (0, -2)

Consider the function y < 2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• None of these.

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

Rewrite this inequality by isolating y.

-4x + ¹/₃y ≤ 5

• y ≤ ⁴/₃x + ⁵/₃

• y ≥ 12x + 5

• y ≥ 12x -15

• y ≤ 12x + 15

Rewrite this inequality by isolating y.

3x - 6y > 12

• y > ¹/₂x - 2

• y < -¹/₂x + 2

• y < ¹/₂x - 2

• y > -3x - 2

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

• (5, -5)
• (0,0)
• (-5, -2)
• (3,-3)

The graph represents which system of inequalities

• y ≥ ⅓ x - 3

  y > -x +1

• y < ⅓ x + 3

  y ≥ -x -1

• y < 3 x - 3

  y > -x -1

• y < ⅓ x - 3

  y ≥ -x +1

Which of the following is NOT a solution to the systems of inequalities?

• y ≥ (3/2) x + 2

  y > -x - 3

• y ≥ (3/2) x + 2

  y ≥ -x - 3

• y ≥ 2 x + 2

  y > -⅓ x + 1

• y > (3/2) x + 2

  y ≤ -x - 3