Introduction to Inequalities
Presentation
•
Mathematics
•
6th Grade
•
Practice Problem
•
Medium
+1
Standards-aligned
Mr. Luczak
Used 26+ times
FREE Resource
8 Slides • 19 Questions
1
Introduction to Inequalities
Day 1
2
So far we have just used the equal symbol to determine if statments are true or false
For example 2 + 4 = 6 is true
And 2 + 4 = 5 is false
3
The Symbol > means "Greater Than"
For example, 2 + 5 > 6
4
Multiple Choice
Which of these following statments are true?
4 + 9 > 19
4 + 9 > 13
4 + 9 > 5
5
The Symbol ≥ means "Greater Than or equal to"
For example, 2 + 5 ≥ 7
6
Multiple Select
Select all of the following options that are true statements
2 + 4 ≥ 6
2 + 4 ≥ 7
2 + 4 ≥ 100
2 + 4 ≥ 1
7
The Symbol < means "Less Than"
For example, 2 + 5 < 10
8
Multiple Choice
Which of these following statments are true?
4 + 9 < 20
4 + 9 < 9
4 + 9 < 13
9
The Symbol ≤ means "Less Than or equal to"
For example, 2 + 5 ≤ 7
10
Multiple Select
Which of these following statments are true?
4 + 9 ≤ 20
4 + 9 ≤ 9
4 + 9 ≤ 13
11
Multiple Choice
If I replace 𝑥 with 3, is 5 + 𝑥 = 8 a true statement?
Yes
No
12
Open Ended
Why was 5 + 𝑥 = 8 true when 𝑥 = 3?
13
Multiple Choice
Is 5 + 𝑥 > 8 a true statment if I replace 𝑥 with 3?
Yes
No
14
If I replace 𝑥 with 3, then 5 + 𝑥 > 8 becomes 5 + 3 > 8.
5 + 3 = 8, so The above statment is 8 > 8
Can 8 Be greater than 8? No, so the statment is false.
15
Multiple Choice
If I replace 𝑥 with 3, is 5𝑥 = 8 a true statement?
Yes
No
16
Multiple Choice
If I replace 𝑥 with 3, will 5𝑥 > 8 be a true statement?
Yes
No
17
If I replace 𝑥 with 3, then 5𝑥 > 8 becomes 5*3 > 8.
5 *3 = 15, so The above statment is 15 > 8
Is 15 greater than 8? Yes, so the statement is true.
18
Fill in the Blanks
y+6=16
What value(s) does the variable have to represent for the equation or inequality to result in a true number sentence?
Type in just the number
Type answer...
19
Fill in the Blanks
3g=15
What value(s) does the variable have to represent for the equation or inequality to result in a true number sentence?
Type in just the number
Type answer...
20
Fill in the Blanks
3g<15 for this inequality, the variable g could represent any number smaller than 5.
In 3g≤15 the variable could also represent any number smaller than 5, but it could also be one other number... What is that number?
Type in just the number
Type answer...
21
Open Ended
y+6>16
What value(s) does the variable have to represent for the equation or inequality to result in a true number sentence?
22
Multiple Select
m+4=12
Which of the following number(s), if any, make the equation or inequality true:
0
3
5
8
10
23
Multiple Select
m+4<12
Which of the following number(s), if any, make the equation or inequality true:
0
3
5
8
10
24
Multiple Select
21w=6
Choose the number(s), if any, that make the equation or inequality true from the following set of numbers:
2
4
6
12
None of the options
25
Multiple Select
21w≤6
Choose the number(s), if any, that make the equation or inequality true from the following set of numbers:
2
4
6
12
None of the options
26
Multiple Select
5h=40
Choose the number(s), if any, that make the equation or inequality true from the following set of numbers:
2
4
6
12
None of the options
27
Open Ended
Consider the equation 𝑦 + 3 = 11 and the inequality 𝑦 + 3 < 11. How does the solution to the equation help you determine the solution set to the inequality?
When you submit your answer, please move on to the next step of the Do Now.
Introduction to Inequalities
Day 1
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