Question

solve the following inequality.\\(\frac{x}{2} - 3 > -5\\)\\(\bigcirc x > -16\\)\\(\bigcirc x > -4\\)\\(\bigcirc x < -16\\)\\(\bigcirc x < -4\\)

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( x \), we add 3 to both sides of the inequality \(\frac{x}{2}-3 > -5\). This gives us \(\frac{x}{2}-3 + 3> -5 + 3\), which simplifies to \(\frac{x}{2}> -2\).

Step2: Multiply both sides by 2

To solve for \( x \), we multiply both sides of the inequality \(\frac{x}{2}> -2\) by 2. This gives us \(\frac{x}{2}\times2> -2\times2\), which simplifies to \(x > -4\).

Answer:

B. \( x > -4 \) (assuming the second option is labeled as B, with the text \( x > -4 \))