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Which one of the following will be definitely true if the expression ‘ D=C≥A>B≥F<G=E≤H ’ is definitely true?

Question

Which one of the following will be definitely true if the expression D=C≥A>B≥F<G=E≤H is definitely true?

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Solution

The given expression is 'D=C≥A>B≥F<G=E≤H'.

Let's break it down:

  1. D = C: This means D and C are equal.
  2. C ≥ A: This means C is greater than or equal to A. Since D = C, we can also say that D is greater than or equal to A.
  3. A > B: This means A is greater than B. Since D is greater than or equal to A, we can also say that D is greater than B.
  4. B ≥ F: This means B is greater than or equal to F. Since D is greater than B, we can also say that D is greater than F.
  5. F < G: This means F is less than G. Since D is greater than F, we can also say that D is greater than G.
  6. G = E: This means G and E are equal. Since D is greater than G, we can also say that D is greater than E.
  7. E ≤ H: This means E is less than or equal to H. Since D is greater than E, we can't determine the relationship between D and H from this.

So, the only definite truth we can derive from this expression is that D is greater than B, F, G, and E, and greater than or equal to A. We can't determine the relationship between D and H.

This problem has been solved

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