165k views
5 votes
What is the difference between the number of solutions for a two-step equation and for a two-step inequality

1 Answer

7 votes

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X > C - B

X > (C - B)/A

In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

User Sassan
by
4.5k points