4.5pc Solving Quadratic Inequalities Mini Quiz

6x² - 54 ≤ 0

• -3 ≤ x ≤ 3
• x ≤ -3 or x ≥ 3
• -3 < x < 3
• x < -3 or x > 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

-3x² + 45 ≥ 6x

• -5 < x < 3
• -5 ≤ x ≤ 3
• x < -5 or x > 3
• x ≤ -5 or x ≥ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve
x² + 13x + 12 = 0

• x = -12, -1
• x = 12, 1
• x = 13, 1
• x = -13, -1

Tags

CCSS.HSA-REI.B.4B

Where is g(x) > f(x)

• (-2, 5/2)

• [-2, 5/2]

• (-∞, -2) U (5/2, +∞)

• (-∞, -2] U [5/2, +∞)

Where is f(x) > g(x)

• (-2, 5/2)

• [-2, 5/2]

• (-∞, -2) U (5/2, +∞)

• (-∞, -2] U [5/2, +∞)

Where is $f\left(x\right)\le g\left(x\right)$  

• (-2, 5/2)

• [-2, 5/2]

• (-∞, -2) U (5/2, +∞)

• (-∞, -2] U [5/2, +∞)

From (-∞, -3) U (1, +∞) 

•  $f\left(x\right)<g\left(x\right)$  

•  $f\left(x\right)\le g\left(x\right)$  

•  $f\left(x\right)>g\left(x\right)$  

•  $f\left(x\right)\ge g\left(x\right)$  

From (-3, 1)

•  $f\left(x\right)<g\left(x\right)$  

•  $f\left(x\right)\le g\left(x\right)$  

•  $f\left(x\right)>g\left(x\right)$  

•  $f\left(x\right)\ge g\left(x\right)$  

Which statement below is incorrect about this picture?

• $f\left(x\right)<0$ on the interval (-3, 5)

• $f\left(x\right)>0$ on the interval $\left(-\infty,\ -3\right)\cup\left(5,\ +\infty\right)$

• $f\left(x\right)\le0$ on the interval [-3, 5]

• $f\left(x\right)\ge0$ on the interval [-3, 5]

In the picture, g(x) > 0 

•  $\left(-\infty,\ -3\right)\cup\left(1,\ +\infty\right)$ 

•  $\left(-\infty,\ -3\right]\cup\left[1,\ +\infty\right)$  

•  $\left(-3,\ 1\right)$  

•  $\left(2,\ +\infty\right)$