Solving One-Step Inequalities: Adding and Subtracting

This video tutorial introduces solving inequalities, focusing on addition and subtraction. It explains that adding or subtracting the same value from both sides of an inequality does not change its truth. The video demonstrates this with examples, showing how to isolate variables and check solutions. It also covers graphing solutions on a number line. The tutorial concludes with a preview of the next video, which will cover multiplication and division in inequalities.

What happens to the truth of an inequality if the same amount is added or subtracted from both sides?

• It invalidates the inequality

• It only works with addition, not subtraction

• It does not affect the truth of the inequality

• It changes the inequality's direction

If you have an inequality 4 < 6 and add 2 to both sides, what is the new inequality?

• None of the above

• 4 < 6

• 6 < 8

• 6 < 10

What is the outcome when you add the same number to both sides of an inequality?

• The inequality reverses

• The inequality remains true

• None of the above

• The inequality becomes an equation

What is the result when you subtract 3 from both sides of the inequality 5 > 2?

• 2 > -1

• 5 > 2

• 2 > -3

• None of the above

If you subtract 4 from both sides of the inequality 12 > 5, what is the result?

• 12 > 5

• 8 > 1

• 8 < 1

• None of the above

In the inequality M + 6 < 15, what is the value of M after isolating the variable?

• M < 9

• M < 21

• M > 9

• M = 9

What is the correct way to isolate the variable in the inequality 4 < P - 7?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by -1

• None of the above

What is the correct representation on a number line for the inequality P ≤ 11?

• Numbers less than or equal to 11, shaded at 11

• Numbers greater than 11, not shaded at 11

• Numbers less than 11, not shaded at 11

• Numbers greater than 11, shaded at 11

After solving the inequality 4 < P - 7 by isolating P, what is the range of possible values for P?

• P < 11

• P > 11

• P ≤ 11

• P ≥ 11

How do you check if a solution to an inequality is correct?

• Substitute back into the original inequality

• Add the solution to both sides

• Subtract the solution from both sides

• None of the above