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Last Updated on May 11, 2023
The symbol ∆ denotes one of the four arithmetic operations…
Solution:
Let’s analyze the given inequality:
If ∆ = addition:
6 + 3 ≤ 3
9 ≤ 3
Since 9 is not less than 3, ∆ cannot be addition.
If ∆ = subtraction:
6 – 3 ≤ 3
3 ≤ 3
Since 3 is less than or equal to 3, ∆ can be subtraction.
If ∆ = divison:
6/3 ≤ 3
2 ≤ 3
Since 2 is less than or equal to 3, ∆ can be division.
If ∆ = multiplication:
6 x 3 ≤ 3
18 ≤ 3
Since 18 is not less than or equal to 3, ∆ cannot be multiplication.
We see then that ∆ is either subtraction or division. Now let’s analyze each Roman numeral:
I. 2∆2=0
Since 2/2 does not equal 0, division doesn’t work and I is not true.
II. 2∆2=1
Since 2 – 2 does not equal 1, subtraction doesn’t work and II is not true.
III. 4∆2=2
Since 4 – 2 = 2 and 4/2 = 2, III is true.
Answer: C
