AI generatedAlgebraKS3 / GCSE

Reading inequality notation

Reading inequality notation.

  • 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

Describe the permitted values and draw the solution on a number line.

Read from left to right: is at least -5 and less than -3. Include -5; exclude -3.
Values between -5 and -3. -5 included, -3 excluded.

Example 2

Describe the permitted values and draw the solution on a number line.

Read from left to right: is greater than -4 and less than -2. Exclude -4; exclude -2.
Values between -4 and -2. -4 excluded, -2 excluded.

Your turn

Question 1

Describe the permitted values and draw the solution on a number line.

Check answer
Read from left to right: is at least -3 and less than -1. Include -3; exclude -1.
Values between -3 and -1. -3 included, -1 excluded.
Question 2

Describe the permitted values and draw the solution on a number line.

Check answer
Read from left to right: is greater than -2 and less than 0. Exclude -2; exclude 0.
Values between -2 and 0. -2 excluded, 0 excluded.
Question 3

Describe the permitted values and draw the solution on a number line.

Check answer
Read from left to right: is at least -1 and less than 1. Include -1; exclude 1.
Values between -1 and 1. -1 included, 1 excluded.
Question 4

Describe the permitted values and draw the solution on a number line.

Check answer
Read from left to right: is greater than 0 and less than 2. Exclude 0; exclude 2.
Values between 0 and 2. 0 excluded, 2 excluded.
Question 5

Describe the permitted values and draw the solution on a number line.

Check answer
Read from left to right: is at least 1 and less than 3. Include 1; exclude 3.
Values between 1 and 3. 1 included, 3 excluded.
← All Algebra cardsReport a mistake