MultiStep,Compound,AbsoluteValue Inequality & Interval Notation

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line using intervals, indicating the lower and upper bounds of the set.

Front

What is the difference between open and closed intervals?

Back

Open intervals (e.g., (a, b)) do not include their endpoints, while closed intervals (e.g., [a, b]) include their endpoints.

Front

How do you express the inequality x > 3 in interval notation?

Back

In interval notation, x > 3 is expressed as (3, ∞).

Front

How do you express the inequality x ≤ -2 in interval notation?

Back

In interval notation, x ≤ -2 is expressed as (-∞, -2].

Front

What is the solution to the inequality 2x - 3 < 5?

Back

The solution is x < 4.

Front

What does the symbol '∪' represent in interval notation?

Back

The symbol '∪' represents the union of two sets, combining all elements from both sets.

Front

How do you express the compound inequality -1 < x < 2 in interval notation?

Back

In interval notation, -1 < x < 2 is expressed as (-1, 2).

Front

What is the solution to the absolute value inequality |x - 4| < 3?

Back

The solution is 1 < x < 7.

Front

How do you express the absolute value inequality |x| ≥ 5 in interval notation?

Back

In interval notation, |x| ≥ 5 is expressed as (-∞, -5] ∪ [5, ∞).