solve x+2 1/2 <8
we are not Simplifying
To solve the inequality x + 2 1/2 < 8, we need to isolate x on one side of the inequality sign.
First, let's convert the mixed number 2 1/2 to an improper fraction.
2 1/2 = 5/2
Now we can rewrite the inequality as:
x + 5/2 < 8
To isolate x, we subtract 5/2 from both sides of the inequality:
x + 5/2 - 5/2 < 8 - 5/2
Simplifying the right side:
x < 16/2 - 5/2
x < 11/2
Therefore, the solution to the inequality x + 2 1/2 < 8 is x < 11/2.