Solving 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 x + 5 > 7?

Back

Subtract 5 from both sides to get x > 2.

Front

What is the solution to the inequality 5w ≥ 30?

Back

Divide both sides by 5 to get w ≥ 6.

Front

When graphing the inequality 5 ≥ x, how is the dot represented?

Back

The dot is colored in because the inequality includes 'greater than or equal to'.

Front

How do you solve the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides to get n ≥ 20.

Front

Translate the phrase 'Twice a number is smaller than 42' into an inequality.

Back

The inequality is 2x < 42.