 # From Equations to Inequalities

Videos and solutions to help Grade 6 students understand that an inequality with numerical expressions is either true or false.

New York State Common Core Math Module 4, Grade 6, Lesson 33

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Common Core For Grade 6

Lesson 33 Student Outcomes

• Students understand that an inequality with numerical expressions is either true or false. It is true if the numbers calculated on each side of the inequality sign result in a correct statement and false otherwise.

• Students understand solving an inequality is answering the question of which values from a specified set, if any, make the inequality true.

Example 1

What value(s) does the variable have to represent for the number sentence to be a true statement? What value(s) does the variable have to represent for the number sentence to be a false statement?

a. y + 6 = 16
b. y + 6 > 16
c. y + 6 ≥ 16
d. 3g = 15
e. 3g > 15
f. 3g ≥ 15
g. 3g ≤ 15

Example 2

Which of the following numbers from this set make the equation true? {0, 3, 5, 8, 10, 14}
a. m + 4 = 12
b. m + 4 < 12
c. f - 4 = 2
d. f - 4 > 2
e. 1/2 h = 8
f. 1/2 h ≥ 8

Exercises

Choose the numbers that make the equation or inequality true from the following set of numbers: {0, 1, 5, 8, 11, 17}

1. m + 5 = 6
2. m + 5 ≤ 6
3. 5h = 40
4. 5h > 40
5. 1/2 y = 5
6. 1/2 y ≤ 5
7. k - 3 = 20
8. k - 3 > 20

Problem Set
Choose the number(s), if any, that make the equation or inequality true from the following set of numbers: {0,3,4,5,9,13,18,24}.

1. h - 8 = 5
2. -8 < 5
3. 4g = 36
4. 4g ≥ 36
5. 1/4 y = 7
6. 1/4 y > 7
7. m - 3 = 10
8. m - 3 ≤ 10

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