Question

solve for x. your answer must be simplified. \\(\frac{x}{25} > 5\\)

Explanation:

Step1: Multiply both sides by 25

To solve the inequality \(\frac{x}{25} > 5\), we multiply both sides by 25 to isolate \(x\). Multiplying both sides of an inequality by a positive number does not change the direction of the inequality. So we have \(25\times\frac{x}{25} > 5\times25\).

Step2: Simplify both sides

Simplifying the left side, \(25\times\frac{x}{25}\) simplifies to \(x\). Simplifying the right side, \(5\times25 = 125\). So we get \(x > 125\).

Answer:

\(x > 125\)