solve 5 < x -2 < 11
To solve the compound inequality 5 < x - 2 < 11, we need to isolate the variable x.
First, we isolate x in the first inequality:
5 < x - 2
Adding 2 to both sides:
5 + 2 < x - 2 + 2
7 < x
Now, we isolate x in the second inequality:
x - 2 < 11
Adding 2 to both sides:
x - 2 + 2 < 11 + 2
x < 13
So, combining the two inequalities, we have:
7 < x < 13
To solve the inequality 5 < x - 2 < 11, we need to isolate the variable x.
Let's start by adding 2 to all parts of the inequality:
5 + 2 < x - 2 + 2 < 11 + 2
This simplifies to:
7 < x < 13
So the solution to the inequality is x lies between 7 and 13, exclusive of the endpoints. This can be written in interval notation as (7, 13).
To solve the inequality 5 < x - 2 < 11, we need to isolate the variable x.
First, let's add 2 to all three parts of the inequality:
5 + 2 < x - 2 + 2 < 11 + 2
This simplifies to:
7 < x < 13.
So, the solution to the inequality is x is between 7 and 13.