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 Grade 6, Module 4, Lesson 33

Download 6th Grade lesson

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

• Show Step-by-step Solutions

• Show Step-by-step Solutions

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

• Show Step-by-step Solutions

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