Solving Inequalities and Compound Inequalities

Solving Inequalities and Compound Inequalities

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

CCSS
6.EE.B.8, 7.EE.B.4B, 6.EE.B.5

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.6.EE.B.8
,
CCSS.7.EE.B.4B
,
CCSS.6.EE.B.5
In this video, Mr. J explains how to solve compound inequalities involving 'or'. He demonstrates solving two separate inequalities: 6Y < 30 and 4Y + 10 > 54. For each inequality, he isolates the variable Y by performing inverse operations. After solving both inequalities, he combines them into a compound inequality: Y < 5 or Y > 11. Mr. J emphasizes that a solution exists if either inequality is true, meaning Y can be any number less than 5 or greater than 11. The video concludes with a recap of the process.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a compound inequality involving 'or'?

Solve each inequality separately.

Multiply the inequalities.

Solve both inequalities together.

Add the inequalities.

Tags

CCSS.6.EE.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate Y in the inequality 6Y < 30?

Multiplication

Subtraction

Division

Addition

Tags

CCSS.6.EE.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After dividing both sides of 6Y < 30 by 6, what is the resulting inequality?

Y > 6

Y < 6

Y > 5

Y < 5

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step to solve the inequality 4Y + 10 > 54?

Multiply both sides by 4.

Divide both sides by 4.

Subtract 10 from both sides.

Add 10 to both sides.

Tags

CCSS.7.EE.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting 10 from both sides of 4Y + 10 > 54?

4Y < 44

4Y > 44

4Y > 64

4Y < 64

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate Y in the inequality 4Y > 44?

Addition

Subtraction

Multiplication

Division

Tags

CCSS.6.EE.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the resulting inequality after dividing both sides of 4Y > 44 by 4?

Y > 10

Y > 11

Y < 11

Y < 10

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