One Variable Inequalities: Solutions to Inequalities

One Variable Inequalities:

Solutions to Inequalities

Tutorial with Ms. Dawson

An inequality is a problem that has a greater than, greater than or equal to, less than, or less than equal to sign instead of an equal sign.

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What is an Inequality?

• 2x⁴+5 < 3  

• Y + 5X = 78

• X^2 – z = 7

• 2x + 14y > 234  

• 3y + 4x + 3xy

Non Examples:

• 3x > 6

• 8x + 6 < 4x

• 145x + 9>16 − 2x + 1

• 5x ≥ 1

• X < 6 

Examples:

One Variable Inequalities

Multiple Select

Select the one variable inequalities.

• x-3 > 10

• x - 4y < 12

• 3x² + 2 > 6

• x+7 < 5

Match

Match the following inequalities with their meaning.

• greater than

• less than

• greater than or equal to

• less than or equal to

>

<

≥

≤

• >

• <

• ≥

• ≤

Math Response

Solve the inequality:

x + 5 > 12

Type answer here

Correct Answer: x>7

Deg^°

Rad

Math Response

Solve the inequality:

x + 4 < 12

Type answer here

Correct Answer: x<8

Deg^°

Rad

Math Response

Solve the inequality:

3x - 15 ≤ 12

Type answer here

Correct Answer: x\le9

Deg^°

Rad

Math Response

Solve the inequality:

2x + 1 ≤ 7

Type answer here

Correct Answer: x\le3

Deg^°

Rad

Graph inequalities on a number line.

What does this mean?

You will graph the answer you get from solving an inequality on a number line.

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Next Up...

Poll

I understand how to solve inequalities and am ready to move onto graphing them on a number line.

• Yes! I got this!

• Maybe, I need some more practice.

• No, I still don't understand.