Mathematics
Which of the following statements is not true ? (r is a positive integer)
If p < q then p - r < q - r
If p ≥ q then -pr ≥ -qr
If p > q, then
If p ≤ q then p + r ≤ q + r
Linear Inequations
1 Like
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.
Answered By
2 Likes
Related Questions
Which of the following is the solution set of x < 0 when the replacement set is the set of whole numbers?
{0}
{….-3, -2, -1, }
{…….,-3, -2, -1, 0}
Null set
Which of the following is the solution set of x ≤ 3 when the replacement set is the set of integers?
{0, 1, 2, 3}
{……,-2,-1, 0, 1, 2}
{………..,-2,-1, 0, 1, 2, 3}
{…..,-2,-1, 1, 2, 3 }
Which of the following statements is true? (r is a positive integer)
If p ≥ q, then
If p ≤ q then pr ≥ qr
If p > q, then -pr > -qr
If p < q then p - r > q - r
Graphical representation of following inequation on the number line is {x : -3 < x < 2, x ∈ I}
1.

2.

3.

4.
