For real numbers and , consider: *'If and are both positive, then is positive.'* Which of these is correct?

Answer and explanation

Correct answer: D. The statement is true and its converse is false

  1. Step 1: The statement is true: the product of two positive numbers is positive.
  2. Step 2: The converse, 'if then and are both positive', is false: gives .
Answer
The statement is true and its converse is false.
Why not the others: The converse fails for two negative numbers; the options calling the statement false are wrong since positive times positive is positive.

Practise more Truth of statements and their converses.

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