Answer
In solving an equation with variable x, if you eliminate the variable and obtain a statement such as\[6=6\], the equation is true for every value of x. The solution set can be expressed in set builder notation as, \[\left\{ x|x\text{ is a real number} \right\}\].
Work Step by Step
While solving an equation if the variable on both the sides of an equation gets eliminated and still left-hand side equals the right-hand side, then the equation is correct or true for every value of x, because no matter what value x takes, the equation is satisfied by its own. The representation for the same is given as\[\left\{ x|x\text{ is a real number} \right\}\].
This means for every real value of x, it will satisfy the equation.
