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If 5<x+3<7 does this imply |x+3|<7 ??
If 5<x+3<7 does this imply |x+3|<7 ??
If 5<x+3<7 does this imply |x+3|<7 ??
If 5<x+3<7 does this imply |x+3|<7 ??
I know its just my analysis notes that subject is so weird the lecturer writes things down that don't make sense and then looks at you like you've got ten heads when you question it. Weird subject man
also, i do not think it is right to say 5<x+3<7, implies |x+3|<7, but rather when the first holds true, also the second will hold true. the vice versa does not hold true.
?? That is exactly what "implies" means. "A implies B" means that whenever A is true, B is also true. It does NOT mean that the converse, "If B is true then A is true" holds.also, i do not think it is right to say 5<x+3<7, implies |x+3|<7, but rather when the first holds true, also the second will hold true. the vice versa does not hold true.
?? That is exactly what "implies" means. "A implies B" means that whenever A is true, B is also true. It does NOT mean that the converse, "If B is true then A is true" holds.
If 5< x+ 3< 7 then it is certainly true that -7< x+ 3< 7 so |x+3|< 7.
!!!! Oh, wait, that was a typo. "greater than -10".well if x is greater than two it's certainly greater than 10...
But in the first one 2<x<4, in the second one -10<x<4