Free Printable Solving Inequalities

1.

Solve: $x+4>7$

a)

$x>3$

b)

$x<3$

c)

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

d)

$x>11$

2.

Solve $3x-7\ge2$

a)

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

b)

$x\ge3$

c)

$x\ge9$

d)

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

3.

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

a)

$x>6$

b)

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

c)

$x>30$

d)

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

4.

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

a)

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

b)

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

c)

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

d)

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

5.

Solve $2<3x-1<11$

a)

$3<x<12$

b)

$1<x<4$

c)

$1<x<10$

d)

$\frac{1}{3}<x<\frac{10}{3}$

6.

Solve $x^2+2x<0$

a)

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

b)

$-2<x<0$

c)

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

d)

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

7.

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

a)

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

b)

$-2\le x\le3$

c)

$-3\le x\le2$

d)

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

8.

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

a)

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

b)

$-4\le x\le2$

c)

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

d)

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

9.

Solve $x^2\ge9$

a)

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

b)

$0\le x\le3$

c)

$-3\le x\le3$

d)

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

10.

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

a)

$x>2$

b)

$x>2\ and\ x<0$

c)

$0<x<2$

d)

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

11.

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

a)

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

b)

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

c)

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

d)

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

12.

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

a)

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

b)

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

c)

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

d)

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

Solving Inequalities

Total questions: 12

Worksheet time: 24mins

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