Question

math question inside

Answer 1

What is the truth value of the quantification \(\forall x(x^2 \ge x)\), where the domain consists of all real numbers

Answer 2

If x < 1 and x>0 then it is not true

Answer 3

why so?

Answer 4

or i should say
it is not satisfied for

-1<x<1

Answer 5

Because in all that region we have proper fractions

Answer 6

oh. the fractions

Answer 7

didn't think of that

Answer 8

Yep

Answer 9

the fraction's arent just -1 < x < 1 by the way...

Answer 10

That is why I said proper fractions

Answer 11

Or I should say

0<|x|<1

Answer 12

This is the set of the value of real numbers for which it is not satisfied

Answer 13

2 1/2 doesn't satisfy it either...

Answer 14

if x = -1/2 then x^2 = +1/4 so no worries about the negatives

Answer 15

let me see

5/2 = 2.5
sqauring

6.25 > 2.5

Answer 16

Wrong calculation lgba

Answer 17

correct @cruffo

Answer 18

the only time the graph of x^2 is below x is on the interval (0,1) not including the endpoints.

Answer 19

absolutely ....... correct