Question

Select the all the correct graphs.

Choose the graphs that indicate equations with no solution.

Answer 1

The graph B and D i.e.
`3x+4= -2^(-x) and -3^(x)-2 = 4^(x)+2`

Explanation:

We are given 5 graphs of different functions and are required to find out which of them have no solution.

Now, there are two possibilities for a solution:

1. Consistent: Where there exist a solution of the system.

This have two options - either one solution or more than one solution i.e. either the graphs intersect at a single point or more than one points respectively.

2. Inconsistent: Where no solution exists. In this case, the graphs of the equations do not intersect at any point.

So, according to the options given, it can be seen that the graphs of equations are not intersecting in the figure B and D.

Hence, the graphs B and D will have an inconsistent i.e. no solution.