how do i solve this please help 5 < x – 2 < 11
5 < x – 2 < 11
Add two everywhere
5+2 < x -2+2 < 11+2
or
7 < x < 13
Well, let's take a closer look at the inequality 5 < x - 2 < 11. To solve it, we need to isolate "x" in the middle.
First, let's add 2 to all parts of the inequality to get: 5 + 2 < x - 2 + 2 < 11 + 2
Simplifying it gives us: 7 < x < 13
So, the solution to the inequality is that x is between 7 and 13. Just remember not to let x escape or go on a vacation outside that range!
To solve the inequality 5 < x - 2 < 11, you need to isolate the variable x. Follow these steps:
Step 1: Add 2 to all parts of the inequality:
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
Step 2: Write down the final solution:
The solution to the inequality 5 < x - 2 < 11 is x lies between 7 and 13 (exclusive). In interval notation, it can be written as (7, 13).
To solve the inequality 5 < x - 2 < 11, you need to isolate the variable x. Here's the step-by-step solution:
1. Start by adding 2 to all parts of the inequality to get rid of the -2:
5 + 2 < x - 2 + 2 < 11 + 2
Simplify:
7 < x < 13
2. Now the inequality can be read as follows: x is greater than 7 and less than 13.
Therefore, the solution to the inequality 5 < x - 2 < 11 is x > 7 and x < 13.