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

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

• w ≥ 7

• w ≥ 8

• w ≤ 7

• w ≤ 8

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

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

• y < 7

• y > 7

• y < 3

• y > 3

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

• C ≥ 3

• C ≤ -3

• C ≥ -3

• C ≤ 3

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

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

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

• a > 9

• a < -9

• a < 9

• a > -9

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

• D < 60

• D > 60

• D ≥ 60

• D ≤ 60

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

• x ≥ -21

• x ≤ 21

• x ≥ 21

• x ≤ -21