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 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 2 + w < 9?

Back

Subtract 2 from both sides: w < 7.

Front

Is w = 6 a solution for the inequality 2 + w < 9?

Back

Yes, because 2 + 6 = 8, which is less than 9.

Front

How do you solve the inequality 21 > 7y?

Back

Divide both sides by 7: y < 3.

Front

Is y = 3 a solution for the inequality 21 > 7y?

Back

No, because 21 is not greater than 21.

Front

How do you solve the inequality 8 - g > 5?

Back

Subtract 8 from both sides: -g > -3, then multiply by -1: g < 3.