Question

5 x ?/2 > 5
I know this because the fraction I made is _____ 1.
less than
greater than
equal to
Please tell me the answer to 5 x ?/2 > 5
Second one:
5 x ?/2 < 5
I know this because the fraction I made is ____ 1.
less than
greater than
equal to
Again please tell me the answer to 5 x ?/2 < 5

Answer 1

To solve the inequalities for \(5 \times \frac{x}{2} > 5\) and \(5 \times \frac{x}{2} < 5\), let's first simplify both expressions.

1. **For \(5 \times \frac{x}{2} > 5\)**:

Divide both sides by 5 (since 5 is positive, the inequality remains the same):
\[
\frac{x}{2} > 1
\]

Then, multiply both sides by 2:
\[
x > 2
\]

Now, let's answer your fill-in-the-blank. The fraction \(\frac{x}{2}\) is **greater than** 1 when \(x > 2\).

2. **For \(5 \times \frac{x}{2} < 5\)**:

Again, divide both sides by 5:
\[
\frac{x}{2} < 1
\]

Then, multiply both sides by 2:
\[
x < 2
\]

For this case, the fraction \(\frac{x}{2}\) is **less than** 1 when \(x < 2\).

So, the answers are:

1. For \(5 \times \frac{x}{2} > 5\): The fraction is **greater than** 1.
2. For \(5 \times \frac{x}{2} < 5\): The fraction is **less than** 1.