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12 grade maths others

Write converse, inverse and contrapositive of the following statements. If surface area decreased then pressure increases.

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9 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer9 Months ago

To analyze the given statement, "If surface area decreased then pressure increases," we can derive its converse, inverse, and contrapositive as follows:

Original Statement

If surface area decreased, then pressure increases.

Converse

The converse switches the hypothesis and conclusion:

If pressure increases, then surface area decreased.

Inverse

The inverse negates both the hypothesis and conclusion:

If surface area did not decrease, then pressure does not increase.

Contrapositive

The contrapositive negates and switches the hypothesis and conclusion:

If pressure does not increase, then surface area did not decrease.

Summary

  • Converse: If pressure increases, then surface area decreased.
  • Inverse: If surface area did not decrease, then pressure does not increase.
  • Contrapositive: If pressure does not increase, then surface area did not decrease.