AI generatedAlgebraGCSE Higher / IGCSE Extended

Writing a solution using set notation

Translate an interval into set-builder 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

Write the solution using set-builder notation.

Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.

Example 2

Write the solution using set-builder notation.

Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.

Your turn

Question 1

Write the solution using set-builder notation.

Check answer
Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.
Question 2

Write the solution using set-builder notation.

Check answer
Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.
Question 3

Write the solution using set-builder notation.

Check answer
Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.
Question 4

Write the solution using set-builder notation.

Check answer
Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.
Question 5

Write the solution using set-builder notation.

Check answer
Use braces for the set. means is real; the colon means “such that”. Copy both boundary signs exactly.
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