Question

Select the statement that describes the solution set for the equation...

A) Single solution
B) Infinite solutions
C) No solution
D) More than two solutions

Answer 1

The solution set for the equation is 'No solution'.

Step-by-step explanation:

The statement that describes the solution set for the equation is C) No solution. This means that there are no values for the variable that satisfies the equation and makes it true.

In a linear equation, the solution set can be classified into three categories:

1. If the equation has only one solution, it is called a single solution. This means that there is exactly one value for the variable that satisfies the equation.
2. If the equation has an infinite number of solutions, it is called infinite solutions. This means that any value for the variable satisfies the equation.
3. If the equation has no solutions, it is called no solution. This means that there are no values for the variable that satisfy the equation.

In this case, the equation has no solution, which is represented by statement C), because there is no value of the variable that makes the equation true.