Videos and solutions to help Grade 6 students learn how to determine if a number sentence is true or false based on the given the equality and inequality symbols.

New York State Common Core Math Module 4, Grade 6, Lesson 23

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Common Core For Grade 6

Lesson 23 Student Outcomes

Students explain what the equality and inequality symbols including =, <, >, ≤, and ≥ stand for. They determine if a number sentence is true or false based on the given symbol.Lesson 23 Student Summary

Number sentences that are inequalities also have truth values. For example, 3 < 4, 6 + 8 > 15 > 12, and (15 + 3)

Determine what each symbol stands for and provide an example.

Example 1

For each inequality or equation your teacher displays, write the equation or inequality, then substitute 3 for every x. Determine if the equation or inequality results in a true number sentence or a false number sentence.

Exercises

Substitute the value into the variable and state (in a complete sentence) whether the resulting number sentence is true or false. If true, find a value that would result in a false number sentence. If false, find a value that would result in a true number sentence.

1. 4 + x = 12. Substitute 8 for x.

2. 3g > 15. Substitute 4 1/2 for g.

3. f/4 < 2. Substitute 8 for f.

4. 14.2 ≤ h - 10.3. Substitute 25.8 for h.

5. 4 = 8/d. Substitute 6 for h.

6. 3 > k + 1/4. Substitute 1 1/2 for k.

7. 4.5 - d > 2.5. Substitute 2.5 for d.

8. 8 ≥ 32p. Substitute 1/2 for p.

9. w/2 < 32. Substitute 16 for w.

10. 18 ≥ 32 - b. Substitute 14 for b.

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