What is linear in equalities in two variable

A linear inequality in two variables takes the form:

y>m x+b or y<m x+b. ( where x and y are two variables)

Linear inequalities are closely related to graphs of straight lines; recall that a straight line has the equation y=m x+b.

The solution to a linear inequality includes all the points in one half of the plane. We can tell which half by looking at the inequality sign:

> The solution set is the half plane above the line.

≥ The solution set is the half plane above the line and also all the points on the line.

< The solution set is the half plane below the line.

≤ The solution set is the half plane below the line and also all the points on the line.

"We use dotted line for a strict inequality and solid line for an inequality sign which also include equality" .

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)