Absolute Value and Inequalities

The video tutorial covers solving absolute value inequalities. It begins with an introduction to the concept and explains how to set up inequalities into two equations. The tutorial then demonstrates solving these inequalities, including special cases where the absolute value is always greater than a negative number or never less than a positive number. The lesson concludes with a final problem to reinforce the concepts learned.

What is the first step in solving an absolute value inequality?

• Graphing the inequality

• Setting up two equations

• Combining like terms

• Factoring the inequality

When splitting an absolute value inequality, what do you do with the sign in the second equation?

• Change it to a less than sign and negate the value

• Change it to a greater than sign

• Change it to an equal sign

• Leave it unchanged

What is the result of dividing both sides of the inequality 3x < 3 by 3?

• x > 0

• x < 1

• x > 1

• x < 0

What happens if the absolute value is always greater than a negative number?

• No solution

• All real numbers

• Only positive numbers

• Only negative numbers

What is the solution to the inequality 2x - 5 > -3?

• x > 1

• All real numbers

• x < 1

• No solution

If you have 3x + 2 < 2, what is the first step to isolate the absolute value?

• Divide both sides by 3

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 3

What is the solution to the inequality 3x + 2 < 2?

• x > 1

• x < 1

• x > 0

• x < 0

What is the final step in solving the inequality 3x + 2 > -2?

• Multiply both sides by 3

• Divide both sides by 3

• Add 2 to both sides

• Subtract 2 from both sides