What is the solution set of {x | x > -5} {x | x < 5}?

The first set represents all numbers greater than -5 (excluded).

The second set represents all numbers less than 5 (excluded).

If you mean that the two conditions must be met at the same time, then the solution is composed by all the numbers between -5 and 5 (endpoints excluded), because by definition they are greater than -5 and less than 5.

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)

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step-by-step explanation: