Inequality number lines

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, and ≤.

Front

What does the symbol '>' mean in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you represent the inequality x > 0 on a number line?

Back

Draw an open circle at 0 and shade to the right, indicating all numbers greater than 0.

Front

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

Back

Draw a closed circle at -2 and shade to the right, indicating all numbers greater than or equal to -2.

Front

What integers satisfy the inequality x ≤ 3?

Back

The integers that satisfy x ≤ 3 are ..., -1, 0, 1, 2, 3.

Front

What integers satisfy the inequality x > 1?

Back

The integers that satisfy x > 1 are 2, 3, 4, ...

Front

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

Back

Draw an open circle at 3 and shade to the left, indicating all numbers less than 3.