The inverse of the statement "If the surface area increase, then the pressure decreases.", is

The inverse of the statement "If the surface area increase, then the pressure decreases.", is
  1. If the surface area does not increase, then the pressure does not decrease.
  2. If the pressure decreases, then the surface area increases.
  3. If the pressure does not decreases, then the surface area does not increase.
  4. If the surface area does not increase, then the pressure decreases.

Solution

Let $\mathrm{p}$ : The surface area increases $q$ : The pressure decreases Given statement is $\mathrm{p} \rightarrow \mathrm{q}$ $\therefore \quad$ It's inverse is $\sim \mathrm{p} \rightarrow \sim \mathrm{q}$ $\therefore \quad$ Option (A) is correct.

Asked in: MHT CET 2023 (12 May Shift 1)

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