Solving Inequalities with Negative Numbers

The video tutorial explains how to solve the inequality 8 - 5x ≥ -7. It guides viewers through isolating the variable x by subtracting 8 from both sides and then dividing by -5, while emphasizing the importance of flipping the inequality sign when dividing by a negative number. The final solution is x ≤ 3, matching option B.

What is the initial inequality given in the problem?

• 8 - 5x <= -7

• 8 - 5x > -7

• 8 - 5x < -7

• 8 - 5x >= -7

What is the first step to isolate x in the inequality 8 - 5x >= -7?

• Add 5 to both sides

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 8 from both sides

After subtracting 8 from both sides, what does the inequality become?

• -5x < -15

• -5x >= -15

• -5x <= -15

• -5x > -15

What is the first arithmetic operation performed in solving the inequality?

• Division

• Multiplication

• Subtraction

• Addition

What is the significance of the number 8 in the inequality?

• It is the coefficient of x

• It is the result of the inequality

• It is the divisor

• It is the constant to be isolated

What is the result of -7 minus 8?

• -15

• 1

• -1

• 15

What operation is performed after simplifying to -5x >= -15?

• Divide both sides by -5

• Multiply both sides by -5

• Subtract 5 from both sides

• Add 5 to both sides

What is the result of dividing -15 by -5?

• -3

• 3

• 5

• -5

What happens to the inequality sign when you divide by a negative number?

• It stays the same

• It flips direction

• It becomes an equal sign

• It disappears

What is the final solution to the inequality?

• x >= 3

• x > 3

• x < 3

• x <= 3