Question

Which of the following statements is true? (r is a positive integer)

Options

• If p ≥ q, then `(-p)/r ≤ (-q)/r`

• If p ≤ q, then pr ≥ qr

• If p > q, then – pr > – qr

• If p < q, then p – r > q – r

Answer 1

`bb(If p ≥ q, then (-p)/r ≤ (-q)/r)`

Explanation:

⇒ p ≥ q

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

Dividing by – r on both sides we get,

⇒ `(-p)/r ≤ (-q)/r`   ...(As on dividing by negative number the sign reverses)

∴ `(-p)/r ≤ (-q)/r` is true.