Free Printable Special Inequalities

1.

$\frac{1}{2}f+\frac{3}{4}\ge\frac{1}{4}f$
Solve the inequality.

a)

$f\ge-3$

b)

$f\le-3$

c)

$f\le3$

d)

$f\ge3$

2.

$4.5+1.3t>3.8t-3$
Solve the inequality.

a)

$t<3$

b)

$t>3$

c)

$t>-3$

d)

$t<-3$

3.

$-5\left(k-1\right)\ge5\left(2-k\right)$
Solve the inequality.

a)

no solution

b)

all real numbers

4.

$-7x-10+5x\ge3\left(x+4\right)+8$
Solve the inequality.

a)

$x\le-6$

b)

$x\ge-6$

c)

$x\le6$

d)

$x\ge6$

5.

$5\le4b-3\le9$
Solve the compound inequality.

a)

$2\le b\le3$

b)

$-2\le b\le-3$

c)

$-2\le b\le3$

d)

$2\le b\le-3$

6.

$2a-5<-5\ OR\ 3a-2>1$
Solve the compound inequality.

a)

$a<0\ OR\ a>1$

b)

$a>0\ OR\ a<1$

c)

$a<0\ or\ a>-1$

d)

$a>0\ OR\ a<-1$

7.

Write the compound inequality shown by the graph.

a)

$-6<r\le5$

b)

$-6\le r<5$

c)

$-6<r<5$

d)

$-6\le r\le5$

8.

$\left|x-\frac{1}{2}\right|+9>10\frac{1}{2}$
Solve the inequality.

a)

$x<-1\ OR\ x>2$

b)

$x>-1\ OR\ x<2$

c)

$-1<x<2$

d)

$-2<x<1$

9.

$\left|x-2.4\right|+4\le6.4$
Solve the inequality.

a)

$0\le x\le4.8$

b)

$-4.8\le x\le0$

c)

$x\le0\ OR\ x\ge4.8$

d)

$x\le-4.8\ OR\ x\ge0$

10.

$\left|x-5\right|+\frac{1}{3}>-1$
Solve the inequality.

a)

all real numbers

b)

no solution

Special Inequalities

Total questions: 10

Worksheet time: 50mins

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