True:
6<2x<4 for all 3<x<2
False:
6<2x<4 for some 3<x<2
Why?
I can convince myself the first is vacuously true. But why is the second false?
#maths #logic
@nprofile1q... The second is false because there is no x such that 3<x<2, since 3 is not less than 2, so, a fortiori, there is no x where 6<2x<4 and 3<x<2, i.e., it's not the case that 6<2x<4 for some x where 3<x<2.
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