Question

Solve x+2 1/2<8
Make sure to write your inequality so that x comes first. PLS HELPPP MMEEEE :(

Answer 1

Solve 5x<12 . Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first.

Answer 2

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

1. Convert \(2 \frac{1}{2}\):
\[
2 \frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2}
\]

2. Now substitute back into the inequality:
\[
x + \frac{5}{2} < 8
\]

3. To eliminate the fraction, we can subtract \(\frac{5}{2}\) from both sides:
\[
x < 8 - \frac{5}{2}
\]

4. Convert \(8\) into a fraction:
\[
8 = \frac{16}{2}
\]
So now the inequality is:
\[
x < \frac{16}{2} - \frac{5}{2}
\]

5. Now perform the subtraction:
\[
x < \frac{16 - 5}{2} = \frac{11}{2}
\]

6. Thus, the solution is:
\[
x < \frac{11}{2}
\]

You can write your final answer as:
\[
x < \frac{11}{2}
\]

Or, if you prefer mixed numbers, you can also write:
\[
x < 5 \frac{1}{2}
\]

This is your final answer!