Solving one-step inequalities

Miscellaneous

100

Inverse operation of addition is 

subtraction

200

Inverse operation of subtraction is 

addition

300

Inverse operation of multiplication is 

division

400

Inverse operation of division is 

multiplication

500

Name these symbols: 

1) <  

2) >

3) ≤

4) ≥

1) less than 

2) greater than 

3) less than or equal to 

4) greater than or equal to

Using addition

100

r-1<2

r<3

200

n-2.5>0 

n>2.5

300

–8 ≥ x – 15

    

7≥ x OR x≤7

400

Twelve is at most a number decreased by 7.    

n≤19

500

z - 3 < 2/3

z < 11/3 

Using subtraction

100

x+12 ≤ 9

                                   

    

x ≤ -3

200

r – (–5) > –2

                                   

    

r > -7

300

1.5 < y + 1

                                   

    

.5 < y OR y > 0.5

400

The sum of a number and 17 is no less than 26.

                                   

    

n < 9

500

z + 5 < 1/4

z < - 19/4

Using multiplication

100

x/3 > 8

x > 24

200

z/7 > 8

z > 56

300

z/3 > -9

z > -27

400

-z/5 > 2

z < -10

500

-x/6 < 7

x > -42

Using division

100

3

x>8

200

2c > 4

c > 2

300

7c ≤ 21

c ≤ 3

400

-10d ≤ 20

d≥-2

500

-c ≥ -100

c ≤ 100