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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Feb 20, 2025