Solve Predicate Logic Homework Equations

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Homework Statement



1) (∀xεℝ)((x≠0)→((∃yεℝ)(xy=1)

2) (∃yεℝ)(∀xεℝ)((x≠0)→(xy=1))



Homework Equations



∃ - there exists
∀ - for all
→ implication

The Attempt at a Solution



The brackets and implication are throwing me for a loop

1) for all real numbers, there exist another real number such that their product is 1. TRUE

2) There exists a real number y, such that any real number and y will have a product of 1. False.

?
 
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.~!@# said:

Homework Statement



1) (∀xεℝ)((x≠0)→((∃yεℝ)(xy=1)

2) (∃yεℝ)(∀xεℝ)((x≠0)→(xy=1))

Homework Equations



∃ - there exists
∀ - for all
→ implication

The Attempt at a Solution



The brackets and implication are throwing me for a loop

1) for all real numbers, there exist another real number such that their product is 1. TRUE

2) There exists a real number y, such that any real number and y will have a product of 1. False.

?
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