Question

your answer must be simplified.
7 > \\(\frac{x}{4}\\)

Explanation:

Step1: Multiply both sides by 4

To solve for \( x \) in the inequality \( 7 > \frac{x}{4} \), we multiply both sides of the inequality by 4. This is a valid operation because 4 is a positive number, and multiplying both sides of an inequality by a positive number does not change the direction of the inequality sign.
\[
7\times4 > \frac{x}{4}\times4
\]

Step2: Simplify both sides

Simplifying the left - hand side: \( 7\times4 = 28 \).
Simplifying the right - hand side: \( \frac{x}{4}\times4=x \).
So we get \( 28 > x \), which can also be written as \( x < 28 \).

Answer:

\( x < 28 \)