What is a linear inequality? A linear inequality is a linear function. There are symbols involved in this, < is less than. > is greater than. ≤ is less than or equal to.
How do you solve them? If it is a multi-step equation, then solve it as you normally would and remove the zero pairs. At the end, you have to divide to find what x is. If you have a negative number, you have to flip the symbol around, as seen in the bottom of this solved equation.
After finishing the equation, you have to graph the answer in order to understand it better. If you have a closed dot on the number line, it means that the number is either more than, less than, or equal to x. If you have an open dot on the number line, it means that the number is either less than or greater than x. How do you place it on the number lines? Well, greater than means that you go to the right, while less than means that you go to the left.
This graph here would be 4.2>x.