Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.

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

How do you solve the inequality 8m - 9 > 71?

Back

Add 9 to both sides: 8m > 80. Then divide by 8: m > 10.

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12. Then divide by 4: x > 3.

Front

How do you solve the inequality -8x < 48?

Back

Divide by -8 (remember to flip the inequality): x > -6.

Front

What does the inequality 6 > x represent?

Back

It means that x is less than 6.

Front

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

Back

The solution set includes all numbers greater than 3.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x can be 5 or any number greater than 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y can be 10 or any number less than 10.