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

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 2

Nope, wrong

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!