Solving Inequalities and Their Solutions

This video tutorial by Mr. J covers solving one-step inequalities using addition, subtraction, multiplication, and division. It explains the importance of isolating the variable and using inverse operations. The tutorial also highlights the need to flip the inequality symbol when multiplying or dividing by a negative number. Each section provides examples and checks solutions to ensure understanding.

What is the first step in solving a one-step inequality?

• Add a constant to both sides

• Isolate the variable using inverse operations

• Flip the inequality symbol

• Multiply both sides by a negative number

Tags

CCSS.7.EE.B.4B

When solving the inequality w + 7 ≥ 15, what is the value of w?

• w ≥ 7

• w ≥ 8

• w ≤ 7

• w ≤ 8

Tags

CCSS.7.EE.B.4B

In the inequality x + 4 < 9, what operation should be performed to isolate x?

• Subtract 4 from both sides

• Divide both sides by 4

• Add 4 to both sides

• Multiply both sides by 4

Tags

CCSS.7.EE.B.4B

What is the solution to the inequality y - 2 > 5?

• y < 7

• y > 7

• y < 3

• y > 3

Tags

CCSS.7.EE.B.4B

In the inequality -6 ≤ C - 3, what is the value of C?

• C ≥ 3

• C ≤ -3

• C ≥ -3

• C ≤ 3

Tags

CCSS.6.EE.B.8

When solving 5x ≤ 10, what operation is used to isolate x?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

Tags

CCSS.6.EE.B.8

What happens to the inequality symbol when both sides are divided by a negative number?

• It becomes an equal sign

• It is removed

• It flips direction

• It remains the same

Tags

CCSS.6.EE.B.8

In the inequality 36 > -4a, what is the value of a after solving?

• a > 9

• a < -9

• a < 9

• a > -9

Tags

CCSS.6.EE.B.8

What is the solution to the inequality D / 10 > 6?

• D < 60

• D > 60

• D ≥ 60

• D ≤ 60

Tags

CCSS.6.EE.B.8

In the inequality x / -7 ≤ -3, what is the value of x?

• x ≥ -21

• x ≤ 21

• x ≥ 21

• x ≤ -21

Tags

CCSS.6.EE.B.8