Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

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 10 ≥ x - 3?

Back

Add 3 to both sides to get 13 ≥ x, which is the same as x ≤ 13.

Front

When solving inequalities, do you flip the inequality sign when multiplying or dividing by a negative number?

Back

Yes, you must flip the inequality sign when multiplying or dividing both sides by a negative number.

Front

What is the solution to the inequality 3x ≥ -12?

Back

Divide both sides by 3 to get x ≥ -4.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4 to get h < 2.

Front

What is the solution to the inequality 7b - 3 < 11?

Back

Add 3 to both sides to get 7b < 14, then divide by 7 to get b < 2.

Front

What does the symbol '<' represent?

Back

The symbol '<' represents 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' represents 'greater than'.