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Which one of the following interchanges ...

Which one of the following interchanges in signs and numbers would make the given equation correct?
`3+5-2=4`
A + and - , 2 and 5
B. + and - 3 and 4
C. + and - 2 and 4
D. + and -

A

B

B

C

C

A

D

D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine which of the given options will make the equation `3 + 5 - 2 = 4` correct by interchanging signs and numbers. ### Step-by-Step Solution: 1. **Write the Original Equation**: \[ 3 + 5 - 2 = 4 \] 2. **Evaluate Each Option**: - **Option A**: Interchange + and - and 2 and 5. - New equation: \(3 - 2 + 5 = 4\) - Simplifying: \(3 - 2 + 5 = 1 + 5 = 6\) - Result: \(6 \neq 4\) (Incorrect) - **Option B**: Interchange + and - and 3 and 4. - New equation: \(4 - 5 + 2 = 4\) - Simplifying: \(4 - 5 + 2 = -1 + 2 = 1\) - Result: \(1 \neq 4\) (Incorrect) - **Option C**: Interchange + and - and 2 and 4. - New equation: \(3 - 5 + 4 = 4\) - Simplifying: \(3 - 5 + 4 = -2 + 4 = 2\) - Result: \(2 \neq 4\) (Incorrect) - **Option D**: Interchange only + and -. - New equation: \(3 - 5 + 2 = 4\) - Simplifying: \(3 - 5 + 2 = -2 + 2 = 0\) - Result: \(0 \neq 4\) (Incorrect) 3. **Conclusion**: After evaluating all options, it appears that none of the options provided make the equation correct. However, based on the video transcript, it seems that the correct option was identified as C, but the calculations show otherwise. ### Final Answer: None of the options make the equation correct based on the calculations provided.
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