Which of the following statements is correct?
(1 Point)
( 2 + 3i ) > ( 2 - 3i )
( 3 + 2i ) > ( - 3 + 2i )
( 5 + 4i ) > ( -5 - 4i)
None of these
Answers
Answer:
None of these
Step-by-step explanation:
Complex numbers cannot be compared. it makes no sense to compare these numbers as there is no common basis on which they can be compared
Answer:
the correct answers are (a) 2 + 3i > 2 - 3i, (b) 3 + 2i > -3+2i, and (c) 5 + 4i > -5 - 4i.
Step-by-step explanation:
We must evaluate the real and imaginary components of two complex integers individually in order to compare a + bi and c + di. This is:
If and only if I a > c or (ii) a = c and b > d, then a + bi > c + di occurs.
Let's compare the complex numbers that are provided for each choice using this standard:
a) 2+3i > 2-3i
In this case, a = 2, b = 3, c = 2, and d = -3.Accordingly, b > d and a = c. Thus, we can deduce that 2 + 3i is greater than 2 - 3i.
b) 3 + 2i > -3+2i
Here, an equals 3, b equals 2, c equals -3, and d equals 2. As a result, a > c, and a c prevents us from using the second condition. As a result, we can say that 3 + 2i is bigger than -3 + 2i.
c) 5 + 4i > -5 - 4i
Here, a = 5, b = 4, c = -5, and d = -4. So, a > c and we cannot use the second criterion since a ≠ c. Hence, we can conclude that 5 + 4i is greater than -5 - 4i.
Therefore, the correct answers are (a) 2 + 3i > 2 - 3i, (b) 3 + 2i > -3+2i, and (c) 5 + 4i > -5 - 4i.
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