# Algebra-An inequality is a statement that is of one of the four forms

An inequality is a statement that is of one of the four forms: 1) ax+b<0; 2) ax+b<=0; 3) ax+b>0 and 4) ax+b>=0.

To solve a linear inequality such as "ax+b<0", we need to find all values of x so that ax+b<0 holds.

Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-5=25.

The solution to the inequality 2x-5<25 is

2x<30 <==> x<15

In other words, all values x<15 are solutions to the inequality 2x-5<25;

However, there is only one solution x=15 for the equation 2x-5=25.

You mentioned that the solution for an inequality could be much larger than an equation, which is exactly correct.

Can you tell us how the answer to the example problem would look in interval notation?

https://brainmass.com/math/basic-algebra/solving-a-linear-inequality-example-problems-491901

#### Solution Preview

For the inequality 2x-5<25, as solved in this post, its solution is every value x less than ...

#### Solution Summary

This solution provides steps to solve linear inequalities.