Solving Absolute Value Inequalities Challenge

The video tutorial covers solving absolute value inequalities, focusing on 'or' and 'and' inequalities. It begins with a recap of previous lessons, explaining the difference between 'or' and 'and' inequalities. The instructor demonstrates how to solve these inequalities by removing absolute value bars, flipping inequality signs, and graphing solutions. The tutorial emphasizes understanding the process and provides examples for clarity. The session concludes with a summary of key points.

What type of inequality involves a variable being between two numbers?

• Compound inequality

• Absolute inequality

• And inequality

• Or inequality

How do you start solving an 'or' inequality involving absolute values?

• By adding the absolute value bars

• By removing the absolute value bars

• By graphing the inequality

• By multiplying both sides by -1

When solving the inequality |x + 2| > 4, what is the first step?

• Write x + 2 < 4 and x + 2 < -4

• Write x + 2 > 4 and x + 2 > -4

• Write x + 2 < 4 and x + 2 > -4

• Write x + 2 > 4 and x + 2 < -4

What is the solution to the inequality |x + 2| > 4?

• x > 2 or x < -4

• x > 2 or x < -2

• x > 4 or x < -6

• x > 2 or x < -6

What type of circle is used on a number line for inequalities without a line underneath?

• Open circle

• Closed circle

• Half-filled circle

• No circle

In the inequality |2x - 1| ≤ 5, what is the first step to convert it into an 'and' inequality?

• Divide both sides by 2

• Add 5 to both sides

• Subtract 1 from both sides

• Make the right side negative and split the inequality

When solving the inequality -5 ≤ 2x - 1 ≤ 5, what is the next step after adding 1 to all parts?

• Add 5 to all parts

• Divide all parts by 2

• Multiply all parts by 2

• Subtract 1 from all parts

What is the correct graphing method for the solution of -2 ≤ x ≤ 3?

• Shade between -2 and 3

• Shade to the right of 3

• Shade to the left of -2

• Shade outside -2 and 3

When do you switch the direction of the inequality sign?

• When adding a positive number

• When subtracting a positive number

• When multiplying or dividing by a negative number

• When the answer is negative

What is the solution to the inequality |2x - 1| ≤ 5?

• -2 ≤ x ≤ 2

• -3 ≤ x ≤ 3

• -3 ≤ x ≤ 2

• -2 ≤ x ≤ 3