Quiz about Solving Inequalities

Question 1

Solve: $$x+4>7$$

Accepted Answer

$$x>3$$

Answer

$$x<3$$

Answer

$$x>\frac{7}{4}$$

Answer

$$x>11$$

Question 2

Solve $$3x-7\ge2$$

Accepted Answer

$$x\ge3$$

Answer

$$x\ge-\frac{5}{3}$$

Answer

$$x\ge9$$

Answer

$$x\le-\frac{5}{3}$$

Question 3

Solve $$\frac{x}{3}-4>6$$

Accepted Answer

$$x>30$$

Answer

$$x>6$$

Answer

$$x>\frac{10}{3}$$

Answer

$$x>\frac{2}{3}$$

Question 4

Solve $$\frac{2x}{3}-\frac{x-1}{2}>\frac{2}{9}$$

Accepted Answer

$$x>-\frac{5}{3}$$

Answer

$$x>\frac{13}{3}$$

Answer

$$x<\frac{13}{3}$$

Answer

$$x<-\frac{5}{3}$$

Question 5

Solve $$2<3x-1<11$$

Accepted Answer

$$1<x<4$$

Answer

$$3<x<12$$

Answer

$$1<x<10$$

Answer

$$\frac{1}{3}

Question 6

Solve $$x^2+2x<0$$

Accepted Answer

$$-2<x<0$$

Answer

$$x<0\ and\ x<-2$$

Answer

$$x<-2\ and\ x>0$$

Answer

$$x>-2\ and\ x>0$$

Question 7

Solve $$x^2-x-6\le0$$

Accepted Answer

$$-2\le x\le3$$

Answer

$$x>\le-2\ and\ x\le3$$

Answer

$$-3\le x\le2$$

Answer

$$x\le-3\ and\ x\le2$$

Question 8

Solve $$4-7x-2x^2\ge0$$

Accepted Answer

$$-4\le x\le\frac{1}{2}$$

Answer

$$x\ge-4\ and\ x\ge\frac{1}{2}$$

Answer

$$-4\le x\le2$$

Answer

$$x\le-4\ or\ x\ge\frac{1}{2}$$

Question 9

Solve $$x^2\ge9$$

Accepted Answer

$$x\ge3\ and\ x\le-3$$

Answer

$$x\ge-3\ and\ x\ge3$$

Answer

$$0\le x\le3$$

Answer

$$-3\le x\le3$$

Question 10

Solve $$\frac{8}{x}<4$$

Accepted Answer

$$x>2\ and\ x<0$$

Answer

$$x>2$$

Answer

$$0<x<2$$

Answer

$$x>\frac{1}{2}$$

Question 11

Solve $$\frac{4}{x+1}<8$$

Accepted Answer

$$x<-1\ and\ x>-\frac{1}{2}$$

Answer

$$-1<x<-\frac{1}{2}$$

Answer

$$x>-\frac{1}{2}$$

Answer

$$x<-\frac{1}{2}$$

Question 12

Solve $$\frac{x-1}{2x+1}<5$$

Accepted Answer

$$x<-\frac{2}{3}\ and\ x>-\frac{1}{2}$$

Answer

$$x>-\frac{2}{3}$$

Answer

$$-\frac{2}{3}

Answer

$$x>-\frac{3}{2}$$

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