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Assertion (A): Subtracting a negative integer increases the value. Reason (R): a − (−b) = a + b. Which is correct?

Class 6IntegersIntegers
  • ABoth A and R are true, and R correctly explains A
  • BBoth A and R are true, but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

Subtracting a negative is the same as adding a positive, a − (−b) = a + b, which makes the result larger. So both A and R are true and R explains exactly why A holds.
Answer: A) Both A and R are true, and R correctly explains A

Key idea: Subtracting integers

Subtraction of integers is just adding the **opposite**: a − b = a + (−b). So 5 − 8 = 5 + (−8) = −3. And 5 − (−8) = 5 + 8 = 13. The 'minus minus' that looks confusing in symbols is simply: subtracting a negative is the same as adding its positive twin. Always rewrite subtraction as addition of the opposite — it removes every sign-error trap.

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