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'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 3 + 6x < 15?

Back

Subtract 3 from both sides: 6x < 12. Then divide by 6: x < 2.

Front

What is the first step to solve the inequality -2x + 7 < 19?

Back

Subtract 7 from both sides: -2x < 12.

Front

How do you isolate x in the inequality -2x < 12?

Back

Divide both sides by -2, remembering to flip the inequality sign: x > -6.

Front

What is the inequality for Carrie needing at least 77 points?

Back

The inequality is 5a + 10 ≥ 77.

Front

How do you solve the inequality 25 - 2t > 10?

Back

Subtract 25 from both sides: -2t > -15. Then divide by -2, flipping the sign: t < 7.5.