Unit 5 (Basics of Inequalities)

Front

What does the inequality symbol '>' represent?

Back

It represents 'greater than'. For example, x > 90 means x is greater than 90.

Front

What does the inequality symbol '<' represent?

Back

It represents 'less than'. For example, x < 20 means x is less than 20.

Front

When solving an inequality, does the sign flip when multiplying or dividing by a negative number?

Back

Yes, the inequality sign flips when you multiply or divide both sides by a negative number.

Front

What is the solution to the inequality 8y < -40?

Back

y < -5.

Front

If you can spend at most $20, how would you express this as an inequality?

Back

You would express it as x ≤ 20.

Front

What is the maximum capacity of a movie theatre if it is represented as an inequality?

Back

The capacity can be represented as x < 455.

Front

What does the inequality symbol '≥' mean?

Back

It means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the inequality symbol '≤' mean?

Back

It means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Front

Solve the inequality: -2x + 2 > 3x - 8.

Back

x < 2.

Front

What is the first step in solving the inequality 5x - 3 < 12?

Back

Add 3 to both sides to isolate the term with x.