Question

solve the inequality and graph the solution.
\\(\frac{s}{2} + 39 \geq 36\\)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
(number line from -10 to 10 with ticks at -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10)

Explanation:

Step1: Subtract 39 from both sides

To isolate the term with \( s \), we subtract 39 from both sides of the inequality \(\frac{s}{2}+39\geq36\). This gives us \(\frac{s}{2}+39 - 39\geq36 - 39\), which simplifies to \(\frac{s}{2}\geq - 3\).

Step2: Multiply both sides by 2

To solve for \( s \), we multiply both sides of the inequality \(\frac{s}{2}\geq - 3\) by 2. This gives us \(s\geq - 6\).

Answer:

The solution to the inequality is \(s\geq - 6\). To graph this, we plot a closed dot at \(-6\) (since the inequality is "greater than or equal to") and draw a ray to the right of \(-6\) on the number line.