Solving Quadratic Inequalities with Graphs and Tables

Is (2, 3) part of the solution set? 
y < 2x² -3x+1

• Yes
• No

Which inequality is shown?

• y< -x²
• y≤ -x²
• y> -x²
• y≥ -x²

Tags

CCSS.HSF-IF.C.7A

(2,2) is a solution to the inequality 2x-6y>x²+4x-8

• True
• False

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

Tags

CCSS.HSF-IF.C.7A

• y ≥ -(x + 4)² + 1
• y < -(x - 4)² + 1
• y ≤ (x - 4)² + 1
• y ≤ -(x - 4)² + 1

Tags

CCSS.HSF-IF.C.7A

Which inequality is represented by the graph?

• y > -(x - 4)² + 1

• y > -(x - 1)² + 4

• y < (x - 4)² + 1

• y > (x + 4)² + 1

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

What is the solution set to the inequality x² - 4x - 5 > 0

• x < -1 or x > 5

• x < -5 or x > 1

• -1 < x < 5

• -5 < x < 1

8x + 140 > 4x^{2
hint: put squared term on the LEFT!}

• -5 < x < 7
• -3 ≤ x ≤ 12
• 4 < x < 15
• -2 < x < 10

x² - 9x - 112 ≥ 0

• -7 < x < 16
• -7 ≤ x ≤ 16
• x < -7 or x > 16
• x ≤ -7 or x ≥ 16