Finding in a rational number between which given pair of numbers supports the idea that a rational numbers are dense in real numbers

Step-by-step explanation:

When we say that rational numbers are dense in the reals, it actually means that between any pair of numbers, there always will be a rational number.

For example, integers are not dense in the reals, because, between to numbers there aren't integers, there are rational numbers. That's what density means in this context.

answer: the first graph

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)