Solving Combined Linear Inequalities: 3<2x+4<=12

The steps for this exercise are similar to solving an equation for x.

Instead of trying to get the x all by itself on one side of an equals sign, we solve these types of inequalities by carrying out steps on each expression in order to isolate the x between the two inequality symbols.

Here's a similar example.



43 <= 3x + 16 < 100

We start by getting rid of the 16, in order to first isolate the term containing x. Subtract 16 from each expression.

43 - 16 <= 3x + 16 - 16 < 100 - 16

27 <= 3x < 84

Divide each expression by 3 to isolate x.

27/3 <= 3x/3 < 84/3

9 <= x < 28



Now, you try the same strategy.

If I wrote anything that you do not understand, then please ask for clarification.

If you would like more help with your exercise, then please show whatever work that you can accomplish, and try to say something about WHY you're stuck, so that I might determine where to continue helping you.

 
Re: Solving Combined Linear Inequalities

I find it usefull to "see" the problem.
let us plot y=2x+4 a straight line

Then the solution is that portion of the line greater than y>3, and less than y<=12

You can determine the x values.

I find this the easiest way to approach this type of problem
Arthur
 
You must log in or register to reply here.
Top