Question

solve the inequality and graph the solution.
-(s - 5) > 3
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.
← -5 -4 -3 -2 -1 0 1 2

Explanation:

Step1: Remove the negative sign

Multiply both sides by - 1 and reverse the inequality sign. We get $s - 5< - 3$.

Step2: Isolate the variable s

Add 5 to both sides of the inequality. So $s< - 3 + 5$, which simplifies to $s < 2$.

Answer:

The solution of the inequality is $s<2$. On the number - line, we have an open - circle at 2 (because 2 is not included in the solution set) and an arrow pointing to the left.