Question

Solve 5x/8 <8. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first. Note: You will find the option to add a >, <, ≥, or ≤ symbol in the Comparison (<) keyboard.

Answer 1

Nope, wrong

Answer 2

To solve the inequality \( \frac{5x}{8} < 8 \), we first need to isolate \( x \).

1. Multiply both sides by 8 to eliminate the fraction:
\[
5x < 64
\]

2. Now, divide both sides by 5 to solve for \( x \):
\[
x < \frac{64}{5}
\]

3. Next, we can convert \( \frac{64}{5} \) into a mixed number.
- Divide 64 by 5, which gives 12 with a remainder of 4.
- So, \( \frac{64}{5} = 12 \frac{4}{5} \).

Now, rewrite the inequality with \( x \) first:
\[
x < 12 \frac{4}{5}
\]

Thus, the solution to the inequality is:
\[
x < 12 \frac{4}{5}
\]

Answer 3

Let's go through the steps of solving the inequality \( \frac{5x}{8} < 8 \) more carefully and make sure everything is correct.

1. Start with the original inequality:
\[
\frac{5x}{8} < 8
\]

2. To eliminate the fraction, multiply both sides by 8:
\[
5x < 64
\]

3. Next, divide both sides by 5 to isolate \( x \):
\[
x < \frac{64}{5}
\]

4. Now let's convert \( \frac{64}{5} \) into a mixed number:
- Divide 64 by 5. \( 64 \div 5 = 12 \) remainder \( 4 \).
- Therefore, \( \frac{64}{5} = 12 \frac{4}{5} \).

5. Write the final inequality with \( x \) first:
\[
x < 12 \frac{4}{5}
\]

So confirming the solution:
\[
x < 12 \frac{4}{5}
\]

If there was anything specifically incorrect that you noted, please let me know so I can address it!