Question

solve the inequality and graph the solution.
-7 + 8s < 9
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.

submit

Explanation:

Step1: Add 7 to both sides

To isolate the term with \( s \), we add 7 to both sides of the inequality \(-7 + 8s < 9\). This gives us \(-7 + 7+ 8s < 9 + 7\), which simplifies to \(8s < 16\).

Step2: Divide both sides by 8

To solve for \( s \), we divide both sides of the inequality \(8s < 16\) by 8. This gives us \(\frac{8s}{8} < \frac{16}{8}\), which simplifies to \(s < 2\).

Answer:

The solution to the inequality \(-7 + 8s < 9\) is \(s < 2\). To graph this, we draw an open circle at \( s = 2 \) (since the inequality is strict, \( s \) cannot equal 2) and draw a ray pointing to the left (towards negative infinity) to represent all values of \( s \) less than 2.