Solve 5x9<8

Question

5
𝑥
9
<
8
. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x
𝑥
comes first.

Note: You will find the option to add a >
>
, <
<
, ≥
≥
, or ≤
≤
symbol in the Comparison (<)
(
<
)
keyboard.

(1 point)................

Answer 1

To solve the inequality \( 5 \times 9 < 8x \), let's first simplify the left side:

1. Calculate \( 5 \times 9 = 45 \).

So, the inequality simplifies to:

\[ 45 < 8x \]

Next, we want to isolate \( x \). Let's divide both sides by 8:

\[ \frac{45}{8} < x \]

Now, it's better to express the improper fraction \(\frac{45}{8}\) as a mixed number.

To convert:

• \( 45 \div 8 = 5\) (the quotient)
• The remainder is \( 5\) (since \( 8 \times 5 = 40\), then \( 45 - 40 = 5\)).

So,

\[ \frac{45}{8} = 5\frac{5}{8} \]

Thus, we have:

\[ 5\frac{5}{8} < x \]

In terms of writing the inequality so \( x \) comes first, we write:

\[ x > 5\frac{5}{8} \]

Therefore, the final answer is:

\[ x > 5\frac{5}{8} \]