A1-U1.6 Lesson: Compound Inequalities

Open Ended

Error Analysis: Jess is working to solve: $$2-5n\ \le12$$ . Here are her steps.

1) She subtracted two from each side.

2) She divided both sides by (-5).

3) She graphed her result as an open point at (-2), shaded toward positive infinity.

Is Jess correct? If not what should she have done differently?

Unit 1 Lesson L6 Compound Inequalities

Concept:

Compound Inequality

A combination of two or more inequalities joined by the word "and" or "or".

The "and" compound inequality that merges two inequalities into a line segment. Can also be express w/o "and" as an inequality w/ "x" in the middle, and values on each side.

​Concept: Convergent Inequality

The "or" compound inequality with two rays, one approaching positive infinity and one approaching negative infinity.

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​Concept: Divergent Inequality

Multiple Choice

Select the option that best matches the inequality: $$x\ <0\ or\ x>1$$

• Compound Divergent

• Compound Convergent

• Compound w/ No Solution

• Compound w/ All Real Numbers Solution

Multiple Choice

Select the option that best matches the inequality: $$x\ \ge-2\ and\ x\le5$$

• Compound Divergent

• Compound Convergent

• Compound w/ No Solution

• Compound w/ All Real Numbers Solution

Multiple Choice

Select the option that best matches the inequality: $$0<x\le7$$

• Compound Divergent

• Compound Convergent

• Compound w/ No Solution

• Compound w/ All Real Numbers Solution

​Example 1:

​Example 2:

​Example 3:

​Example 4:

​Example 5:

Multiple Choice

Select the option that best matches the result of: $$5\le x+4<9$$

• $$1\le x<5$$

• $$1<x\le5$$

• $$9\le x<13$$

• $$9<x\le13$$