Exploring Rational Expressions in Algebra 2

What is a compound inequality also known as?

• Disjunction

• Conjunction

• Equation

• Interval

How do you solve a compound inequality?

• By adding the same number to all sides

• By isolating the variable on all three sides

• By isolating the variable on one side

• By multiplying all sides by the same number

What is the key difference between a conjunction and a disjunction?

• A conjunction has one inequality, while a disjunction has two

• A conjunction uses 'and', while a disjunction uses 'or'

• A conjunction uses 'or', while a disjunction uses 'and'

• A conjunction is always true, while a disjunction is always false

How is a disjunction represented on a number line?

• With overlapping intervals

• With intervals going in opposite directions

• With a single interval

• With no intervals

What does the absolute value of a number represent?

• The distance from zero

• The number itself

• The square of the number

• The negative of the number

What type of inequality results in a conjunction?

• Absolute value not equal to

• Absolute value less than

• Absolute value equal to

• Absolute value greater than

What type of inequality results in a disjunction?

• Absolute value equal to

• Absolute value less than

• Absolute value greater than

• Absolute value not equal to

How do you solve an absolute value inequality with a 'less than' condition?

• By setting up two separate inequalities

• By setting up a single inequality

• By setting up an equation

• By setting up a disjunction

What is the interval notation for the solution of |p - 14| ≤ 19?

• [5, ∞)

• (-∞, 33]

• (-5, 33)

• [5, 33]

How do you solve an absolute value inequality with a 'greater than' condition?

• By setting up two separate inequalities

• By setting up a conjunction

• By setting up a single inequality

• By setting up an equation