Quadratic Inequalities

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)

5x² + 10x + 7 ≥ 0

• no solution
• all reals
• x ≤ 5 or x ≥ 7
• 5 ≤ x ≤ 7

6x² - 54 ≤ 0

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

-3x² + 6x - 3 > 0

• no solution
• all reals
• x = 1
• x ≠ 1

-3x² + 6x - 3 > 0

• no solution
• all reals
• x = 1
• x ≠ 1

-8x² - 9 ≥ 0

• no solution
• all reals
• x = 1.125
• x ≠ 1.125

Solve the quadratic inequality:

 $x^2+11x+10\ge0$  

•  $x\le1\ ,\ \ x\ge10$  

•  $x\ge1\ ,\ \ x\le10$  

•  $1\le x\le10$  

•  $-1\le x\le11$  

Solve the quadratic inequality:

 $x^2+10x+16<0$  

•  $2<x<8$  

•  $-8<x<-2$  

•  $-8<x<2$  

•  $-2<x<8$  

 Which of the following is the solution set of   $x^2-9x-112\ge0$  ?

• {x l -7 < x < 16}

• {x l -7 ≤ x ≤ 16}

• {x l x < -7 or x > 16}

• {x l x ≤ -7 or x ≥ 16}