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 in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality: 4a + 7 ≥ 31?

Back

Subtract 7 from both sides: 4a ≥ 24. Then divide by 4: a ≥ 6.

Front

How do you solve the inequality: 3d - 6 ≥ 15?

Back

Add 6 to both sides: 3d ≥ 21. Then divide by 3: d ≥ 7.

Front

What is the graph representation of the inequality x > -8?

Back

An open circle at -8 with shading to the right.

Front

What is the graph representation of the inequality x ≥ 9?

Back

A closed circle at 9 with shading to the right.

Front

How do you graph the inequality a ≥ 2 on a number line?

Back

Draw a closed circle at 2 and shade to the right.