Question

x + 2 wholes 1/2 < 8 solve the inequality

Answer 1

To solve the inequality \( x + 2\frac{1}{2} < 8 \), we first convert the mixed number into an improper fraction or a decimal.

The mixed number \( 2\frac{1}{2} \) can be converted as follows:

\[
2\frac{1}{2} = 2 + \frac{1}{2} = 2 + 0.5 = 2.5
\]

Now we can rewrite the inequality:

\[
x + 2.5 < 8
\]

Next, we isolate \( x \) by subtracting \( 2.5 \) from both sides of the inequality:

\[
x < 8 - 2.5
\]

Calculating the right side:

\[
8 - 2.5 = 5.5
\]

So we have:

\[
x < 5.5
\]

The solution to the inequality is:

\[
\boxed{x < 5.5}
\]