Solving Inequalities: Key Concepts and Techniques

What is the initial inequality expression discussed in the video?

• -5 > 3x - 1 > 10

• -5 < 3x - 1 < 10

• -5 > 1 - 3x > 10

• -5 < 1 - 3x < 10

What must be done when dividing or multiplying an inequality by a negative number?

• No changes needed

• Add 1 to each side

• Flip the inequality signs

• Subtract 1 from each side

What operation is performed first to simplify the inequality?

• Division by -3

• Addition of 1

• Subtraction of 1

• Multiplication by -3

What is the result after subtracting 1 from all parts of the inequality?

• -6 < -3x < 9

• 6 > 3x > 9

• 6 < 3x < 9

• -6 > -3x > 9

What is the effect of subtracting 1 from each part of the inequality?

• Simplifies the expression to isolate -3x

• Complicates the expression further

• Has no effect on the inequality

• Changes the direction of the inequality

What is the correct interpretation of dividing by -3 in the context of the inequality?

• Add 3 to each term

• Multiply each term by -3

• Just divide each term without flipping signs

• Flip the signs and divide each term

After dividing by -3, what are the new bounds for x?

• 2 and -3

• -2 and 3

• 3 and -2

• -3 and 2

What is the final range of x after solving the inequality?

• 3 < x < -2

• 2 < x < -3

• -2 < x < 3

• -3 < x < 2

Which answer choice corresponds to the solution of the inequality?

• Choice H

• Choice A

• Choice B

• Choice C

How is the final solution of the inequality expressed differently in the answer choices?

• Using less than signs only

• Using greater than signs only

• With additional terms

• In reverse order