I need help solving this problem.
x - 3 > 8
add tnree to both sides.
-10<-2+8<22
To solve the inequality x - 3 > 8, we need to isolate the variable x, which means we want to get x by itself on one side of the inequality symbol (>).
Here are the steps to solve this inequality:
Step 1: Add 3 to both sides of the inequality to get rid of the constant term on the left side.
x - 3 + 3 > 8 + 3
Simplifying the equation:
x > 11
Therefore, the solution to the inequality x - 3 > 8 is x > 11.
To make sure you understood the process, let me explain it further:
Step 1: Add 3 to both sides of the inequality to isolate the variable x.
By doing this, we are canceling out the -3 on the left side so that we can have x by itself. Similarly, we need to add 3 to the constant term on the right side to maintain the equality.
Step 2: Simplify the result.
On the left side, x - 3 + 3 becomes x when we add -3 and 3 together. On the right side, 8 + 3 gives us 11. So, the simplified equation becomes x > 11.
Now, we have solved the problem and found that the solution to the inequality is x > 11, which means any values of x greater than 11 will satisfy the original inequality x - 3 > 8.