Absolute Value

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

How is absolute value represented mathematically?

Back

Absolute value is represented using vertical bars, e.g., |x|.

Front

What is the absolute value of -7?

Back

| -7 | = 7.

Front

What is the absolute value of 3?

Back

| 3 | = 3.

Front

What does the equation |x| = a imply?

Back

It implies that x can be either a or -a, where a is a non-negative number.

Front

What is the solution set for |x| = 5?

Back

The solution set is {5, -5}.

Front

What does the inequality |x| < a mean?

Back

It means that x is within a distance of a from zero, or -a < x < a.

Front

What does the inequality |x| > a mean?

Back

It means that x is more than a distance of a from zero, or x < -a or x > a.

Front

What is the graphical representation of |x| < 3?

Back

The graph shows a line segment between -3 and 3 on the number line.

Front

What is the graphical representation of |x| > 2?

Back

The graph shows two rays extending from -2 to the left and from 2 to the right on the number line.