If □ means "<", Δ means ">", O means "=" and 2x Δ 3y, 2y O z, then which one is correct? 

If □ means "<", Δ means ">", O means "=" and 2x Δ 3y, 2y O z, then which one is correct?  Correct Answer 4x Δ 3z

 

Symbol

Δ

O

Meaning

=


2x Δ 3y, 2y O z

After replacing symbols by their meaning, we get:

2x > 3y……...(i)

2y = z ………(ii)

Multiplying (i)by 2 and (ii)

 by 3, we get:

4x > 6y and 6y = 3z

Combining both the statements we get:

4x > 6y = 3z

1) x □ z → x < z → False (As, 4x > 6y = 3z)

2) 4x □ 3z → 4x < 3z → False (As, 4x > 6y = 3z)

3) x Δ z → x > z → False (As, 4x > 6y = 3z)

4) 4x Δ 3z → 4x > 3z → True (As, 4x > 6y = 3z)

Hence, ‘4x Δ 3z’ is the correct answer.

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