Question

question
solve the following inequality for s. write your answer in simplest form.
( s + 9 > 10s - 2 )
answer attempt 1 out of 5
( s )
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Explanation:

Step1: Subtract \( s \) from both sides

To isolate the variable terms, we subtract \( s \) from each side of the inequality \( s + 9>10s - 2 \). This gives us \( 9>9s - 2 \).

Step2: Add 2 to both sides

Next, we add 2 to both sides to isolate the term with \( s \). So, \( 9 + 2>9s \), which simplifies to \( 11>9s \).

Step3: Divide by 9

Now, we divide both sides by 9 to solve for \( s \). We get \( \frac{11}{9}>s \), or equivalently \( s<\frac{11}{9} \).

Answer:

\( s < \dfrac{11}{9} \)