Solving Simple and Compound Inequalities

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Objective

I can solve simple and compound inequalities and graph the solutions on a number line.

Part 1 of 4

Warm-up video

Miacademy & MiaPrep Learning Channel · 8:54Vetted channel

We don't generate video — this one is by Miacademy & MiaPrep Learning Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    A compound inequality combines two simple inequalities with the words "and" or "or."

  2. 2

    With an "or" compound inequality, only one of the inequalities has to be true, but with an "and" compound inequality, both inequalities must be true at the same time.

  3. 3

    When graphing an "and" compound inequality, the solution is where the two plots overlap, meaning both inequalities are true in that range.

Part 3 of 4

Practice

8 questions

1

What is the key difference between solving an 'or' compound inequality and an 'and' compound inequality?

2

Solve the following 'or' compound inequality: x + 3 < 1 OR 2x > 6

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the compound inequality and graph the solution on a number line: x + 3 < 5 or 2x > 8

Sample answer included in the free materials

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Teacher guide, student handout, and slides — free, in Google Docs format

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