Graphing Inequalities on a Number Line

Front

What is an inequality?

Back

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

Front

How do you represent 'less than' in an inequality?

Back

The symbol for 'less than' is '<'. For example, 'x < 5' means x is less than 5.

Front

How do you represent 'greater than or equal to' in an inequality?

Back

The symbol for 'greater than or equal to' is '≥'. For example, 'x ≥ 3' means x is greater than or equal to 3.

Front

What does the inequality 'x < -5' mean in words?

Back

It means that x is less than -5.

Front

What does the inequality 'x > 7' mean in words?

Back

It means that x is greater than 7.

Front

What is the graphical representation of an inequality on a number line?

Back

An inequality is represented on a number line with an open circle for '<' or '>', and a closed circle for '≤' or '≥', along with a line extending in the direction of the inequality.

Front

What does the inequality 'x > 2 or x ≤ -3' indicate?

Back

It indicates that x is either greater than 2 or less than or equal to -3.

Front

How do you write the inequality for 'a trainer advises an athlete to keep his heart rate under 140 beats per minute'?

Back

The inequality is r < 140.

Front

What is the difference between 'x < -2' and 'x ≤ -2'?

Back

'x < -2' means x is less than -2 (not including -2), while 'x ≤ -2' means x is less than or equal to -2 (including -2).

Front

How do you express 'x is less than -2 or x is greater than or equal to 3' in inequality form?

Back

The inequality form is x < -2 or x ≥ 3.