Mathematics

Which of the following statements is not true ? (r is a positive integer) 1. If p q then p - r q - r 2. If p q then -pr -qr 3. If p q, then 4. If p q then p + r q + r

Linear Inequations

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Answer

⇒ p ≥ q

Since, r is positive so -r will be negative.

Multiplying by -r on both sides we get,

⇒ -pr ≤ -qr (As on multiplying by negative number the sign reverses.)

∴ -pr ≥ -qr is not true.

Hence, Option 2 is the correct option.

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