5 < 5x-2 < 9 find x values
You can find the answer to this just as if it were a regular equation and not an inequality. You just isolate the x term and solve for it. Here are the steps:
First, you must add two to all sides so as to get that term out of the middle.
7 < 5x < 11
Now, divide all sides by 5 to get x in the middle.
7/5 < x < 11/5
Now, let's test this by plugging values into the original equation. Let's take x = 2, which should be a possible value.
5< 10 - 2 < 9
Now let's take x = 3, which should not be a possible value.
5 < 13 < 9
So we got the right answer.
To find x values we need to solve the inequality the same way we solve the equation with one variable.
We need to keep x by itself. First we add 2
--> 5+2 < 5x-2+2 < 9+2
--> 7<5x< 11 Now divide by 5
then x velues belong to the interval (7/5, 11/5)