Writing Inequalities
Solving Inequalities
Compound 'and'
Compound 'or'
100

Write the sentence as an inequality.

The sum of a number and y is 9 and at least -1.

y + 9 < -1 

100

Solve and graph.

(x/2) - 5 >or equal -9.

x >or equal -8


Look at graph.

100

Solve and Graph

-7 < 2c -1 < 10

-3 < c < (11/2)

Check Graph

100

Solve and graph

-5 < 2-h or 6h + 5 > 71

h<-7 or h > 56

200

Write the sentence as and inequality.

A number r is more than 0 or less than or equal to -8

r>0 or r<(or equal) -8

200

Solve and graph -4s < 6s + 1

s < (1/2)

Look at graph

200

Solve and Graph

-2<or equal 4-3a <or equal 13

-9<or equal a <or equal -2

check graph

200

Draw a graph that matches this inequality. x <or equal -3 or x>2 

See Response 

300

Write the sentence as an inequality.

A number k is less than 3 units from 10.

7<k<13.

300

Solve and graph

4p + 3 >or equal 2(2p+1)

All real numbers 

300

Draw a graph for this inequality statement:

-4 < or equal x < or equal -1 

See Responses 

300

(r/4)<-5 or -2r-7 <3

r> -5 or r< -20

400

You start a small baking business and you want to earn a profit of at least $250 for the first month. The expenses in the first month are $155. Write an inequality to represent this situation. 

x-155>or equal 250

400

Solve and Graph

2(3x + 8)>3(2x+6)

Infinite Solutions  

400

Solve and graph

19 > 3z +1 > -5

-2<z<6

400

Write this as an inequality 

 m more than -7 or at most -10

m<or equal 10 or m> -7

500

Admission to a play cost $25 and a season pass costs $180. Write an inequality to represent the number of plays you must see for the season pass to be a better deal. 

Next solve the inequality. Round to the nearest play 

25x>180

x>8


500

Solve and Graph

5x - 6 + x >or equal 2x - 8 

x>or equal -2

Check Graph

500

Write this as an inequality  m more than -7  but less than 10

-7 < x < 10

500

A number n is less than -7 or greater than 12

Write an inequality 

n<-7 or n>12