Question

question
solve the following inequality for s. write your answer in simplest form.
8 + 3(-s + 2) > -5s - 1 - 4s
answer attempt 1 out of 5
s < >
submit answer

Explanation:

Step1: Simplify left side

Distribute 3: \(8 - 3s + 6\), combine like terms: \(14 - 3s\)

Step2: Simplify right side

Combine like terms: \(-9s - 1\)

Step3: Rewrite inequality

\(14 - 3s > -9s - 1\)

Step4: Add \(9s\) to both sides

\(14 + 6s > -1\)

Step5: Subtract 14 from both sides

\(6s > -15\)

Step6: Divide by 6

\(s > -\frac{15}{6}\), simplify to \(s > -\frac{5}{2}\)

Answer:

\(s > -\frac{5}{2}\)