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Chapter 4: Problem 52

True or False \(y=y\)

Short Answer

Expert verified
Question: True or False: \(y < x\) is the same as \(x \geq y\). Answer: False

Step by step solution

01

Rewrite the inequality in the standard form

Rewrite \(x \geq y\) as \(y \leq x\). Now we have two inequalities: \(y < x\) and \(y \leq x\).
02

Compare the inequalities

Compare the two inequalities: \(y < x\) and \(y \leq x\). The first inequality states that y is strictly less than x, while the second inequality includes the situation where y is equal to x as well.
03

Determine if the inequalities are the same

Since the first inequality only states that y is strictly less than x, while the second inequality allows for y to be equal to x, we can conclude that these inequalities are not the same. So, the statement "True or False: \(y < x\) is the same as \(x \geq y\)" is False.

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