Homework help. Express the negation of the statment in terms of quantifiers without using the negation symbol.∃x(3<x ≤ 7)

[bigstern]

Express the negation of the statment in terms of quantifiers without using the negation symbol.∃x(3<x ≤ 7)

 

[tkhunny]

-------- 3 -------- 7 ----------

 

[bigstern]

-------- 3 -------- 7 ----------

What does this mean?

 

[pka]

Express the negation of the statment in terms of quantifiers without using the negation symbol.∃x(3<x ≤ 7)

The negation is every x is not greater than 3 nor less than or equal to 7.
Now you put the symbols in an post your effort. We will check it.

 

[bigstern]

The negation is every x is not greater than 3 nor less than or equal to 7.
Now you put the symbols in an post your effort. We will check it.

∃x!(x<3≤ 7) is this correct or close to correst

 

[pka]

∃x!(x<3≤ 7) is this correct or close to correst

You have no idea what you are doing. Do you?
\(\displaystyle (\forall x)[x\le 3\vee 7<x]\) Can you translate that into proper English?
If not you need a sit-down face-to-face conference with an instructor.

 

[bigstern]

You have no idea what you are doing. Do you?
\(\displaystyle (\forall x)[x\le 3\vee 7<x]\) Can you translate that into proper English?
If not you need a sit-down face-to-face conference with an instructor.

For all x, x is less than or equal to 3 or 7 is less than x

 

[pka]

For all x, x is less than or equal to 3 or 7 is less than x

Well, if I were grading you in one of my classes, I would give you 70% on that answer.
I would expect: "Every x is at most 3 or more than 7."