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Wednesday

Wednesday - Learn & Practice: Inequalities and What the Answer Means

Practice solving inequalities, reading what the answer means, and learning from a common process mistake.

Quick Review

Start With the Rule

Solving inequalities is like solving equations, but there is one major exception: When you multiply or divide by a negative number, you must reverse the inequality symbol.

Guided Examples

Watch the Inequality Change

Example 1

Guided Example 1 (Basic inequality)

x + 5 < 12

Step-by-step solution:

  1. x + 5 < 12 Start
Example 2

Guided Example 2 (Reversing the symbol)

-3x ≥ 9

Solution:

  1. -3x ≥ 9 Start

Practice Problems

Try Each Problem

Enter an answer, check it, and keep editing your work as you learn from feedback.

Problem 1

x + 3 < 7

Example format: x < 4

Problem 2

2x > 10

Example format: x > 5

Problem 3

-4x ≤ 20

Example format: x >= -5

Problem 4

4x - 2 ≥ 10

Example format: x >= 3

Problem 5

2(x + 5) < 16

Example format: x < 3

Problem 6

Spiral Review: 3x - 1 = 11

Midweek Mistake Check

Find the Step to Fix

First, look at the incorrect solution. Then identify what happened.

-2x + 4 > 10

-2x > 6

x > -3

Think about: What did they do right? Where is the mistake? Why is it a mistake? How do you fix it? Type of Mistake

Where is the mistake?

Wednesday Exit Check

Check What You Can Do Next

How many of the next 3 problems do you think you will solve correctly?

Exit 1

x + 6 < 10

Example format: x < 4

Exit 2

-2x > 8

Example format: x < -4

Exit 3

3x - 3 ≥ 9

Example format: x >= 4

Key question: How do you know when to flip the sign?

When you multiply or divide both sides of an inequality by a negative number.

End of Wednesday

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