Solving Quadratic Inequalities

Solve the inequality: 6x² - 54 ≤ 0

• -3 ≤ x ≤ 3

• x ≤ -3 or x ≥ 3

• -3 < x < 3

• x < -3 or x > 3

Solve the inequality: 8x + 140 > 4x²

• -5 < x < 7

• -3 ≤ x ≤ 12

• 4 < x < 15

• -2 < x < 10

Solve:

2x² + 5x ≥ 12

• [-4, 1.5]

• (−∞, -4) U (1.5, ∞)

• (−∞, -4] U [1.5, ∞)

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve: 5x - 10x² < 0

• (0, ½)

• [0, ½]

• (−∞, 0) U (½, ∞)

• (- ½ , 0)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Which inequality is being 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 correctly shows the inequality  $y<\left(x+4\right)^2+1$  ?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Which correctly shows the inequality  $y>x^2+4x+6$  ?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Is the point (2, 1) a solution to the inequality shown?

• Yes

• No

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Test the point (0, 0). Is the solution area inside or outside the parabola for the inequality  $y>-2x^2-8x-7$  ?

• Inside

• Outside

• Neither

Tags

CCSS.HSA.REI.D.12

Solve the inequality: x² - 9x ≥ 112

• -7 < x < 16

• -7 ≤ x ≤ 16

• x < -7 or x > 16

• x ≤ -7 or x ≥ 16