Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Concept and Vocabulary Check - Page 362: 10

In solving an equation, if you eliminate the variable and obtain a statement such as \[2=3\], the equation has no solution. The set can be expressed using the symbol is \[\varnothing \].

Whenever a condition comes like\[2=3\], it means that the set of equations that have been satisfied by the equality sign. These can never be equal and the equation can never be satisfied by the value of any variable. Therefore, the equation has no solution and it is represented as\[\varnothing \].