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'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality 21 > 7y?

Back

To solve 21 > 7y, divide both sides by 7: 3 > y or y < 3.

Front

What is the solution to the inequality 3 + k < 10?

Back

To solve 3 + k < 10, subtract 3 from both sides: k < 7.

Front

If g = 3, does 8 - g > 5 hold true?

Back

No, because 8 - 3 = 5, and 5 is not greater than 5.

Front

What is the solution to the inequality c - 2 > 7?

Back

To solve c - 2 > 7, add 2 to both sides: c > 9.

Front

How do you check if m = 7 satisfies the inequality 35 < 5m?

Back

Substitute m with 7: 35 < 5(7) = 35, which is false.