Inequality and Interval Notation Practice

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation [-4, -1) represent?

Back

The notation [-4, -1) represents the set of all real numbers x such that -4 is included and -1 is excluded. It means -4 ≤ x < -1.

Front

How do you express the inequality -8 ≤ x < 8 in interval notation?

Back

The inequality -8 ≤ x < 8 is expressed in interval notation as [-8, 8).

Front

What is the solution to the inequality 7(x + 3) < 5x + 13?

Back

The solution to the inequality 7(x + 3) < 5x + 13 is x < -4.

Front

What does the inequality x > -22 mean?

Back

The inequality x > -22 means that x can take any value greater than -22, but not -22 itself.

Front

How do you solve the inequality 6x + 10 > 5x - 12?

Back

To solve the inequality 6x + 10 > 5x - 12, subtract 5x from both sides to get x + 10 > -12, then subtract 10 to find x > -22.

Front

What is the solution to the inequality -18 ≤ 2(3x - 3)?

Back

The solution to the inequality -18 ≤ 2(3x - 3) is x ≥ -2.

Front

What does the notation (a, b) signify in interval notation?

Back

The notation (a, b) signifies an open interval, meaning that a and b are not included in the set of values.

Front

What does the notation [a, b] signify in interval notation?

Back

The notation [a, b] signifies a closed interval, meaning that both a and b are included in the set of values.

Front

How do you represent the solution set of x < 5 in interval notation?

Back

The solution set of x < 5 is represented in interval notation as (-∞, 5).