Question

choose the correct number line that represents the answer to the inequality \\(\frac{x}{2} + 5 > 7\\) note: dont forget to write the variable first. dont use any spaces in your answer. type your answer...

Explanation:

Step1: Subtract 5 from both sides

To solve the inequality \(\frac{x}{2}+5 > 7\), we first subtract 5 from both sides of the inequality. This gives us \(\frac{x}{2}+5 - 5>7 - 5\), which simplifies to \(\frac{x}{2}>2\).

Step2: Multiply both sides by 2

Next, we multiply both sides of the inequality \(\frac{x}{2}>2\) by 2 to isolate \(x\). When we do this, we get \(x > 4\).

Answer:

\(x>4\)