Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities using the words 'and' or 'or'. For example, x < 3 and x > 1.

Front

What does the absolute value of a number represent?

Back

The absolute value of a number represents its distance from zero on the number line, regardless of direction. For example, |3| = 3 and |-3| = 3.

Front

What is the solution to the inequality |3x - 2| < -7?

Back

No Solution, because the absolute value cannot be less than a negative number.

Front

How do you graph the inequality k < 3?

Back

You draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

What does the inequality 2 ≤ x ≤ 4 mean?

Back

It means x is greater than or equal to 2 and less than or equal to 4.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true simultaneously, while 'or' means at least one condition must be true.

Front

How do you solve the inequality x > 2 or x ≤ -3?

Back

The solution includes all numbers greater than 2 and all numbers less than or equal to -3.

Front

What does the graph of x > 2 look like?

Back

An open circle at 2 with a line extending to the right, indicating all numbers greater than 2.

Front

What is the solution set for the inequality x < 3?

Back

The solution set includes all real numbers less than 3.

Front

How do you interpret the graph of the inequality x ≥ 2 or x ≤ 4?

Back

The graph shows all numbers greater than or equal to 2 and all numbers less than or equal to 4.