When does the inequality sign flip?

Whenever both sides are multiplied or divided by a negative number. Adding or subtracting never flips it.

How do I print or save these worksheets as a PDF?

Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.

Can I get a fresh set of problems?

Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.

Is this worksheet generator free?

Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.

Solving inequalities worksheet generator

Inequality solving, including negative coefficients that flip the direction.

Solving Inequalities

Name: Date:

1.
x + 8 < 17
2.
x + 2 < 2
3.
x + 7 < 16
4.
x + 10 > 17
5.
x + 12 < 11
6.
x + 12 < 15
7.
x + 5 > 4
8.
x + 5 > 10
9.
x + 6 > 8
10.
x + 13 > 4
11.
x + 15 > 17
12.
x + 9 < 10
13.
x + 4 < 3
14.
x + 2 < 6
15.
x + 3 > 2
16.
x + 7 < 1
17.
x + 6 < 5
18.
x + 5 > 14
19.
x + 8 > 10
20.
x + 4 < 10

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Solving Inequalities — Answer Key

Name: Date:

1.
x + 8 < 17
x < 9
2.
x + 2 < 2
x < 0
3.
x + 7 < 16
x < 9
4.
x + 10 > 17
x > 7
5.
x + 12 < 11
x < -1
6.
x + 12 < 15
x < 3
7.
x + 5 > 4
x > -1
8.
x + 5 > 10
x > 5
9.
x + 6 > 8
x > 2
10.
x + 13 > 4
x > -9
11.
x + 15 > 17
x > 2
12.
x + 9 < 10
x < 1
13.
x + 4 < 3
x < -1
14.
x + 2 < 6
x < 4
15.
x + 3 > 2
x > -1
16.
x + 7 < 1
x < -6
17.
x + 6 < 5
x < -1
18.
x + 5 > 14
x > 9
19.
x + 8 > 10
x > 2
20.
x + 4 < 10
x < 6

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Frequently asked questions

When does the inequality sign flip?: Whenever both sides are multiplied or divided by a negative number. Adding or subtracting never flips it.
How do I print or save these worksheets as a PDF?: Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.
Can I get a fresh set of problems?: Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.
Is this worksheet generator free?: Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.