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anonymous
 3 years ago
Counterexample problem.. jus want to know if its right. Thanks!
anonymous
 3 years ago
Counterexample problem.. jus want to know if its right. Thanks!

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TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1what would happen if you plugged in x=1 ? you get\[x^2\ge1\implies x\ge1\]\[1^2\ge1\implies1\ge1\]where is the falsehood here?

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1I agree with @TuringTest 1 does equal 1.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ohh yeah.. it wouldnt b false.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but its saying OR equal to

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1and it is equal, so it's true

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Emah yeahh thats true.. i dont see another answer that works

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1try each one individually

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh oops i sdidnt see the part that said couterexample:( sorry

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1what do you get when you plug in x=2\[x^2\ge1\]\[x\ge1\]are both still true?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1which part is false?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1\[2^2\ge1\]is not true you say?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1we need to find an example where the first part is true, and the second part is false to disprove the statement

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1\[2^2=4\]and four is greater than one, so \[x^2\ge1\]is true for x=2

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1what about the other part, is\[2\ge1\]?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0its true because 2 is greater tha 1

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1right, so both statements are true for x=2, so this is not a counterexample

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1what about for x=3 is\[x^2\ge1\]and is\[x\ge1\]?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0first one is 9 > 1 (true) second one is 3 > 1 (true too)
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