Isolating the ABS sign to solve and graph an absolute value inequality

The video tutorial explains the process of solving absolute value inequalities. It emphasizes the importance of isolating the absolute value before creating two cases. The tutorial covers how to handle inequalities by flipping the sign when negating a side. It also demonstrates solving the inequalities and graphing the solutions on a number line. The session concludes with a Q&A segment to address any student queries.

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

• Apply the distributive property

• Multiply both sides by a coefficient

• Add a constant to both sides

• Isolate the absolute value

When creating two cases for an absolute value inequality, what must you do if you negate one side?

• Flip the inequality sign

• Add a constant to both sides

• Multiply both sides by a coefficient

• Divide both sides by a constant

What type of inequality is formed when the absolute value is greater than a number?

• An 'or' inequality

• An 'and' inequality

• A 'but' inequality

• A 'not' inequality

How do you solve the inequality 2X - 1 ≥ 7?

• Subtract 1 from both sides, then divide by 2

• Multiply both sides by 2, then add 1

• Add 1 to both sides, then divide by 2

• Divide both sides by 2, then subtract 1

On a number line, how do you represent the solution X ≤ -3?

• A solid circle at -3, shading to the right

• An open circle at -3, shading to the right

• An open circle at -3, shading to the left

• A solid circle at -3, shading to the left