Finding integer solutions to an inequality Revision Card

AI generatedAlgebraKey Stage 3

Finding integer solutions to an inequality.

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

List every integer satisfying the inequality.

Start at -5, the first allowed integer. Stop at -4, because -3 is excluded.

List every integer satisfying the inequality.

Start at -3, the first allowed integer. Stop at -3, because -2 is excluded.

Question 1

List every integer satisfying the inequality.

Check answer

Start at -3, the first allowed integer. Stop at -2, because -1 is excluded.

Question 2

List every integer satisfying the inequality.

Check answer

Start at -1, the first allowed integer. Stop at -1, because 0 is excluded.

Question 3

List every integer satisfying the inequality.

Check answer

Start at -1, the first allowed integer. Stop at 0, because 1 is excluded.

Question 4

List every integer satisfying the inequality.

Check answer

Start at 1, the first allowed integer. Stop at 1, because 2 is excluded.

Question 5

List every integer satisfying the inequality.

Check answer

Start at 1, the first allowed integer. Stop at 2, because 3 is excluded.