Need help with explanation for following True or False Statements Let A and B be sets (also please explain how the if and only if would work with these True False Questions in helping solve) (I'm pretty sure a is T, b is false and c is false but need help with understanding why more deeply with these Set Theory related questions) a. For all x, x element A then x element B if and only if A subset B b. For all x, x not element A then x not element B if and only if A not subset B c. A != B if and only if A not subset B and B not subset A
Need help with explanation for following True or False Statements Let A and B be sets (also please explain how the if and only if would work with these True False Questions in helping solve) (I'm pretty sure a is T, b is false and c is false but need help with understanding why more deeply with these Set Theory related questions) a. For all x, x element A then x element B if and only if A subset B b. For all x, x not element A then x not element B if and only if A not subset B c. A != B if and only if A not subset B and B not subset A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with explanation for following True or False Statements
Let A and B be sets (also please explain how the if and only if would work with these True False Questions in helping solve) (I'm pretty sure a is T, b is false and c is false but need help with understanding why more deeply with these Set Theory related questions)
a. For all x, x element A then x element B if and only if A subset B
b. For all x, x not element A then x not element B if and only if A not subset B
c. A != B if and only if A not subset B and B not subset A
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