Question

Which of the following would produce a graph with no solution?

a) x = -5
b) x ; 5
c) x;-5.
d) x= 0

Answer 1

A graph with no solution represents a system of equations that have no common solution. The option that would produce a graph with no solution is x = -5.

Step-by-step explanation:

A graph with no solution represents a system of equations that have no common solution. In this case, the equations are represented by the given values for x. Let's analyze each option:

a) x = -5: This equation represents a vertical line passing through x = -5. There is only one value of x that satisfies this equation, so it does not have a solution.

b) x > 5: This is an inequality rather than an equation. It represents all values of x that are greater than 5, so there is an infinite number of solutions.

c) x < -5: This is also an inequality. It represents all values of x that are less than -5, so again, there are infinite solutions.

d) x = 0: This equation represents a vertical line passing through x = 0. There is only one value of x that satisfies this equation, so it does not have a solution.

So, the option that would produce a graph with no solution is (a) x = -5.