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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 pr>qr\dfrac{p}{r} \gt \dfrac{q}{r}

  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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