Exploring Adding and Subtracting Rational Expressions

The video tutorial explains compound inequalities, which are combinations of two or more inequalities joined by 'and' or 'or'. It covers two types: OR inequalities, which tend to graph outward, and AND inequalities, which graph inward. The tutorial provides examples, demonstrates how to graph these inequalities, and explains how to express solutions in interval notation. It also covers solving inequalities and consolidating them into single expressions.

What is a compound inequality?

• A single inequality with multiple solutions

• Two or more inequalities joined together with 'and' or 'or'

• An equation with multiple variables

• An inequality with only one variable

How do 'or' inequalities generally graph?

• Inward

• Outward

• Downward

• Upward

What symbol is used for an open circle in interval notation?

• Bracket

• Parenthesis

• Square bracket

• Curly brace

When solving 'or' inequalities, what happens when you divide by a negative number?

• The solution becomes positive

• The solution becomes negative

• The inequality symbol stays the same

• The inequality symbol flips

How do 'and' inequalities generally graph?

• Downward

• Upward

• Outward

• Inward

What does it mean when two inequalities overlap in an 'and' inequality?

• The inequalities are invalid

• The inequalities are separate

• There is a common solution area

• There is no solution

How are 'and' inequalities typically written?

• As a single variable

• As an equation

• As a single condensed inequality

• As separate inequalities

What is the interval notation for the inequality -2 ≤ x < 5?

• (-2, 5]

• [-2, 5)

• [-2, 5]

• (-2, 5)

What should you do first when solving an inequality involving distribution?

• Graph the inequality

• Isolate the variable

• Combine like terms

• Distribute first

How do you remove a fraction in an inequality?

• Divide by the fraction

• Multiply by the reciprocal

• Add the reciprocal

• Subtract the fraction