Inequalities

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 '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

How do you solve the inequality 1 + 3r > 10?

Back

Subtract 1 from both sides to get 3r > 9, then divide by 3 to find r > 3.

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8 to find x ≥ -4.

Front

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides to get -2h > 24, then divide by -2 (remember to flip the inequality) to find h < -12.

Front

What is the solution to the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides to find s ≥ -34.

Front

What is the solution to the inequality x < 2?

Back

The solution indicates that x can be any number less than 2.