E 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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, 7 ≥ 7 means 7 is greater than or equal to 7.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, 3 ≤ 5 means 3 is less than or equal to 5.

Front

How do you represent the inequality x > 4 on a number line?

Back

To represent x > 4 on a number line, draw an open circle at 4 and shade the line to the right, indicating all numbers greater than 4.

Front

How do you represent the inequality x < 2 on a number line?

Back

To represent x < 2 on a number line, draw an open circle at 2 and shade the line to the left, indicating all numbers less than 2.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x > 4), while a closed circle indicates that the number is included (e.g., x ≤ 4).

Front

How do you represent the inequality x ≥ 3 on a number line?

Back

To represent x ≥ 3 on a number line, draw a closed circle at 3 and shade the line to the right, indicating all numbers greater than or equal to 3.

Front

How do you represent the inequality x ≤ -1 on a number line?

Back

To represent x ≤ -1 on a number line, draw a closed circle at -1 and shade the line to the left, indicating all numbers less than or equal to -1.