Question

How do you solve a linear inequality and graph on a number line?

Answer 1

This is very similar to solving linear equations except for one thing, If we multiply or divide by a negative number, we must flip the inequality sign.

What is linear inequality?

In mathematics, inequality occurs when a non-equal comparison is made between two mathematical expressions or two numbers. In general, inequalities can be either numerical inequality or algebraic inequality or a combination of both.

To better understand it, let's examine the example.

2x - 5 < 3

So, when we solve, let's just consider the inequality sign like a regular equal sign.

Let's start by adding 5 to each sides.

2x - 5 + 5 < 3 + 5  

To find the value of x , we must divide  it by two.

2x/2 <8/2

And the final result is x= 4.

This is our answer.

So if we need to graph it, let’s draw a number line and draw an open circle at 4. Open circle because x is not equal to 4. Then make an arrow going to the left.

to know more about linear inequality and graph:

brainly.com/question/21103162

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