Solving multi-step problems using non-linear inequalities in one variable

Which of the following is the solution of the given Quadratic Inequality?

• 5 < y < 12

• 7 < y < 10

• 8 < y < 9

• 6 < y < 11

2x² + 9x - 143 < 0

• -11 < x < 6.5
• -11 ≤ x ≤ 6.5
• no solution
• all reals

Find the solution set for the quadratic inequality: 5x^2 - 8x + 3 ≥ 0

• (-∞, 3/5] ∪ [1, ∞)

• (-∞, 3/5] ∪ [1, ∞)

• (-∞, 3/5] ∪ (1, ∞)

• (-∞, 3/5) ∪ (1, ∞)

Solve the quadratic inequality.

 $x^2+6x+8>0$  

•  $-4<x<-2$ 

•  $x<-4$ 

•  $x>-2$ 

•  $x<-4\$ or  $x>-2$ 

Solve the quadratic inequality:

 $x^2+11x+10\ge0$  

•  $x\le1\ ,\ \ x>10$  

•  $x\ge-1\ ,\ \ x\le-10$  

•  $x\ge-10,\ \ x\le-1$  

•  $-10\le x\le-1$  

Solve:  5x - 10x² < 0

• (0, ½)
• [0, ½]
• (-oo, 0) U (½, oo)
• (- ½ , 0)

Solve the inequality: $x^3+2x^2-3x\ge0$  

•  $\left(-\infty,-3\right)\cup\left(0,1\right)$  

•  $\left[-3,0\right]\cup\left[1,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left[0,1\right]$  

•  $\left(-3,0\right)\cup\left(1,\infty\right)$  

Which symbol indicates "at least" in quadratic inequality?

• <

• ≤

• >

• ≥

Solve the quadratic inequality:

 $x^2-11x+10\ge0$  

•  $x\le1\ ,\ \ x\ge10$  

•  $x\ge1\ ,\ \ x\le10$  

•  $1\le x\le10$  

•  $-1\le x\le11$