Medium1 markMultiple Choice
Numberinequalitiesnumber propertieslogic

AQA GCSE · Question 11.3 · Number

Statement 3: If a number is ≥ 5 the smallest possible value of the number is 5.

Answer options:

A.

True

B.

May be true

C.

Not true

How to approach this question

1. Read the statement: "If a number is ≥ 5 the smallest possible value of the number is 5". 2. Understand the symbols: "≥ 5" means "greater than or equal to 5". 3. This condition describes a set of numbers that includes 5, 5.1, 6, 100, etc. 4. From this set of numbers, what is the smallest possible value? It is 5. 5. The statement says the smallest possible value is 5. This matches our conclusion. 6. Therefore, the statement is always true.

Full Answer

A.True✓ Correct
True
The statement is "If a number is ≥ 5 the smallest possible value of the number is 5". The symbol "≥" means "greater than or equal to". So, the condition is that the number can be 5, or any number larger than 5 (e.g., 5.01, 6, 7.3, 200). From all these possible numbers, the smallest one is 5 itself. The statement claims that the smallest possible value is 5, which is correct. Therefore, the statement is always **True**.

Common mistakes

✗ Confusing ≥ with >. If the statement was "If a number is > 5", then the smallest value would not be 5, and the statement would be "Not true" (as there is no single smallest value, you can get infinitely close to 5, e.g., 5.000...1).

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