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solve for x. your answer must be simplified. 17x > -17

Question

solve for x. your answer must be simplified. 17x > -17

Explanation:

Step1: Divide both sides by 17

To solve for \( x \) in the inequality \( 17x > -17 \), we divide both sides of the inequality by 17. Since 17 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{17x}{17} > \frac{-17}{17}
\]

Step2: Simplify both sides

Simplifying the left side, \( \frac{17x}{17} = x \). Simplifying the right side, \( \frac{-17}{17} = -1 \). So we get:
\[
x > -1
\]

Answer:

\( x > -1 \)