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Chapter 4: Problem 51

True or False \(x \quad 1=y\) is the same as \((x>y|| x

Short Answer

Expert verified
Answer: False

Step by step solution

01

Correct the equation

First, let's correct the given equation. It seems like it should be \(x+1=y\). Now, we have to determine whether this equation is the same as \((x>y|| x<y)\). The corrected equation is: \(x+1=y\)
02

Analyze the given equation and conditions

Now, let's consider the equation: \((x>y|| x<y)\) This equation represents the condition where \(x\) is either greater than \(y\) or less than \(y\).
03

Testing the conditions

Now let's see if \(x+1=y\) has the same meaning as \((x>y|| xy\) and \(xy\), then \(y-1>x\), meaning \(y>x+1\). This does not satisfy the given equation (\(x+1=y\)) in every case. 2. If \(x<y\), then \(y-1<x\), meaning \(y<x+1\). This also does not satisfy the given equation (\(x+1=y\)) in every case.
04

Determine if the equation and conditions have the same meaning

As we saw in Step 3, neither the condition \(x>y\) nor the condition \(xy|| x<y)\) is false. So, the answer is: False

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