Question

solve the inequality for x.
\\(\frac{x}{4} + 3 > -1\\)
simplify your answer as much as possible.

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( x \), we subtract 3 from both sides of the inequality. This gives us \(\frac{x}{4}+3 - 3> - 1-3\), which simplifies to \(\frac{x}{4}>-4\).

Step2: Multiply both sides by 4

To solve for \( x \), we multiply both sides of the inequality by 4. Since 4 is a positive number, the direction of the inequality sign remains the same. So we have \(\frac{x}{4}\times4>-4\times4\), which simplifies to \(x > - 16\).

Answer:

\(x > - 16\)