Given below is an inequality, which of the following condition is TRUE?

If P ≤ Q ≥ R; E ≥ Q; L < Q = D

  1. L < P
  2. E͟ ≥ R
  3. E < D
  4. Q < R

Answer (Detailed Solution Below)

Option 2 : E͟ ≥ R
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Detailed Solution

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Given inequality is: P ≤ Q ≥ R; E ≥ Q; L < Q = D

1. L < P → P ≤ Q, L < Q, data is not sufficient to determine the relation → False

2. E ≥ R → E ≥ Q ≥ R, E ≥ R → True.

3. E < D → E ≥ Q, L < Q = D, E ≥ D → False.

4. Q < R → Q ≥ R → False.

Hence, E ≥ R, is the correct inequality.
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