If x < y <= z, can we then state that x <= z? Is there a property that allows us to do this? (Where <= is less than or equal to)
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Originally Posted by emellok If x < y <= z, can we then state that x <= z? Is there a property that allows us to do this? (Where <= is less than or equal to) If x is less than y then it CANNOT be equal to y, and since z is greater than or equal to y, z must be greater than x.
I know the inequality x<y<=z leads directly to x<z. However, in a proof can we use the argument for x therefore x or y. So I could have x < y <= z implies x < z therefore x <= z?
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