Distinguishing a strict and inclusive inequality in context Revision Card

AI generatedAlgebraCourse skill

Distinguishing a strict and inclusive inequality in context.

Add or subtract the same amount on both sides without changing the inequality sign.
Multiplying or dividing both sides by a negative number reverses the inequality sign.
Every condition must hold. Use open endpoints for < or >, and closed endpoints for ≤ or ≥.

Example 1

A ticket costs £5. You may spend at most £5. Find the greatest whole number of tickets you can buy.

The number of tickets is a non-negative integer. The boundary is allowed.

A ticket costs £6. You may spend less than £6. Find the greatest whole number of tickets you can buy.

The number of tickets is a non-negative integer. The boundary is excluded, so take the next lower integer.

Question 1

A ticket costs £7. You may spend at most £7. Find the greatest whole number of tickets you can buy.

Check answer

The number of tickets is a non-negative integer. The boundary is allowed.

Question 2

A ticket costs £8. You may spend less than £8. Find the greatest whole number of tickets you can buy.

Check answer

The number of tickets is a non-negative integer. The boundary is excluded, so take the next lower integer.

Question 3

A ticket costs £9. You may spend at most £9. Find the greatest whole number of tickets you can buy.

Check answer

The number of tickets is a non-negative integer. The boundary is allowed.

Question 4

A ticket costs £10. You may spend less than £10. Find the greatest whole number of tickets you can buy.

Check answer

The number of tickets is a non-negative integer. The boundary is excluded, so take the next lower integer.

Question 5

A ticket costs £11. You may spend at most £11. Find the greatest whole number of tickets you can buy.

Check answer

The number of tickets is a non-negative integer. The boundary is allowed.