Master Solving and Graphing an Absolute Value Inequality with OR

The video tutorial explains how to solve absolute value inequalities by creating two cases, graphing solutions on a number line, and ensuring the absolute value is isolated before solving. It highlights the difference between 'and' and 'or' conjunctions in compound inequalities and provides examples to illustrate these concepts.

What is the conjunction used when solving absolute value inequalities that are greater than or equal to?

• But

• Nor

• And

• Or

When graphing the solution of an inequality like P > 3 or P < -3, what type of points are used on the number line?

• Solid points

• Open points

• Dashed points

• Closed points

Why is it important to isolate the absolute value before solving an inequality?

• To ensure the correct use of conjunctions

• To avoid incorrect solutions

• To simplify the equation

• To apply the correct operations

How can you represent a non-integer solution like 13/5 on a number line?

• By rounding it to the nearest integer

• By ignoring it

• By estimating its position between integers

• By using a calculator to find its decimal form

What is the first step in solving an absolute value inequality like |2/5y - 8| + 4 ≥ 12?

• Divide both sides by 2

• Add 4 to both sides

• Multiply both sides by 5

• Subtract 4 from both sides

When graphing solutions on a number line, why might you choose to use a different scale?

• To avoid using negative numbers

• To make the graph look more complex

• To simplify the graphing process

• To fit larger numbers on the line

In the context of absolute value inequalities, what does the term 'isolate' refer to?

• Removing the absolute value bars

• Ensuring the absolute value expression stands alone

• Using only positive numbers

• Separating the variable from constants