Inequalities

Basics

100

What does the symbol ≥ mean?

Greater than or equal to.

200

Which inequality symbol means “less than”?

<

300

True or False: 3 is greater than 6.

False

400

What is an inequality?

A math sentence that compares two values using <, >, ≤, or ≥.

500

Solve the inequality:
x+7<10

x<3

Fractions

100

x/2 > 4

x>8

200

x/3 <= 9

x <=27

300

x/5 =>-2

x=>-10

400

-x/4 < -1

x>4

500

-x/10 +3 <= 1

x=>20

Decimals

100

x−0.5=1.2

x=1.7

200

x+0.25=>0.75

x=>0.5

300

-1.5x=3

x=-2

400

x–2.4 <0

x<2.4

500

-0.1x => -0.2

x <= 2

Sign Flip

100

−2x>10

x<-5

200

-x<-5

x>5

300

 –3x=>-9

x<=3

400

-x+4<-1

x>5

500

-x/2+20<=80

x=>-120

Word Problems

100

Write an inequality: A number plus 3 is greater than 7.

x+3>7

200

Write an inequality: Twice a number is less than 12.

2x < 12

300

Write an inequality: Half a number is more than 5.

x/2 > 5

400

Write an inequality: Subtract 4 from a number and it’s less than or equal to 2.

x–4<=2

500

Write and solve: The negative of a number divided by 3 is at least -6.

x<=18