Quadratic Inequalities S25

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Determine the solutions to the quadratic inequality y > x^2 - 4x + 3.

• x > 1 or x < 3

• x < 2 or x > 4

• x < 1 or x > 3

• x > 2 or x < 4

Solve:

2x² + 5x ≥ 12

• [-4, 1.5]

• (−∞, -4) U (1.5, ∞)

• (−∞, -4] U [1.5, ∞)

• no solution

Solve: 5x - 10x² < 0

• (0, ½)

• [0, ½]

• (−∞, 0) U (½, ∞)

• (- ½ , 0)

Solve:

3x - x² > 0

• (−∞, 0) U (3, ∞)

• (−∞, - 3) U (0, ∞)

• (-3, 0)

• (0, 3)

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

Which inequality is shown?

• y< -x²
• y≤ -x²
• y> -x²
• y≥ -x²

• y ≤ (x - 3)² + 3
• y < (x + 3)² - 3
• y < (x - 3)² - 3
• y ≤ (x + 3)² - 3