Exploring One-Step Inequalities with Addition

The video tutorial explains how to solve the inequality x + 8 ≤ 6. It begins by isolating x on the left-hand side by subtracting 8 from both sides, resulting in x ≤ -2. The solution is then graphed on a number line, with a filled-in dot at -2 to indicate that -2 is included in the solution set. The tutorial also discusses how to verify the solution by testing values, confirming that values less than or equal to -2 satisfy the inequality.

What is the initial inequality given in the problem?

• x + 8 ≤ 6

• x + 8 ≥ 6

• x + 8 < 6

• x + 8 > 6

What is the first step to isolate the variable x?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

What operation is performed on both sides of the inequality to isolate x?

• Division

• Addition

• Subtraction

• Multiplication

What is the simplified form of the inequality after isolating x?

• x ≤ 2

• x ≥ -2

• x ≤ -2

• x ≥ 2

Where should the number 0 be placed on the number line?

• It should not be placed

• In the middle

• At the far right

• At the far left

How is the point at x = -2 represented on the number line?

• With a triangle

• With a star

• With a closed dot

• With an open dot

What does a closed dot on the number line indicate?

• The value is not included

• The value is less than

• The value is included

• The value is greater than

Which of the following values should satisfy the inequality x ≤ -2?

• 2

• 0

• -1

• -3

What is the result of substituting x = -3 into the inequality?

• 5, which is less than 6

• 5, which is greater than 6

• 7, which is less than 6

• 7, which is greater than 6

What is the result of substituting x = -1 into the inequality?

• 5, which is less than 6

• 7, which is greater than 6

• 7, which is less than 6

• 5, which is greater than 6