Inequalities in Math

One-step inequalities

100

Solve this inequality:

3x > 15

x > 5

200

Solve this inequality:

45x < 225

x < 5

300

Solve this inequality:

100x ≥ 1,000

x ≥ 10

400

Solve this inequality:

123 > 41x

3 > x

500

Solve this inequality:

999x ≥ 2997

x ≥ 3

Two-step inequalities

100

Solve this inequality:

5x + 5 ≥ 55

x ≥ 10

200

Solve this inequality:

x/25 - 50 ≥ 100

x ≥ 6

300

Solve this inequality:

96 - 3x ≤ 27

x ≥ 23

400

Solve this inequality:

560 ≥ 50x + 10

11 ≥ x

500

Solve this inequality:

5678 -3x ≥ 780

x ≤ 1663

Negative one-step inequalities

100

Solve this inequality:

-16x ≥ 32

x ≤ -2

200

Solve this inequality:

-3x ≥ 21

x ≤ -7

300

Solve this inequality:

-8x ≥ 56

x ≤ -7

400

Solve this inequality: 

-125x < 500

x > -4

500

Solve this inequality:

-442x ≥ 1326

x ≤ -3

Negative two-step inequalities

100

Solve this inequality:

-5x + 15 < 45

x > -6

200

Solve this inequality:

-4x + 27 ≥ 31

x ≤ -1

300

Solve this inequality:

25x - 26 ≤ 24

x ≤ 2

400

Solve this inequality:

x/-99 - 11 ≤ 11

x ≥ -2178

500

Solve this inequality:

123 - 3x ≥ 246

x ≤ -41

Inequality symbols and reading inequalities

100

How do we call this symbols:

<, >, ≤, ≥

Less than, greater than, less than or equal to, and greater than or equal to

200

When do you have to flip an inequality symbol

You flip it when you multiply or divide by a negative number

300

How do we read this inequality?

x/4 + 8 ≥ 16

x divided by four plus eight is greater than or equal to sixteen

400

How do we read this inequality?

5x - 78 ≤ 118

five x minus seventy-eight is less than or equal to one hundred and eight-teen

500

What symbol would you use in the answer to this inequality?

-3x + 8 ≥ 24

≤