Question

solve the linear inequality for x. write your answer in inequality notation.
-3 - 9x < 6

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( x \), we add 3 to both sides of the inequality. This gives us:
\( -3 - 9x + 3 < 6 + 3 \)
Simplifying both sides, we get:
\( -9x < 9 \)

Step2: Divide by -9 (and reverse inequality)

When we divide an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( -9x < 9 \) by -9:
\( \frac{-9x}{-9} > \frac{9}{-9} \)
Simplifying, we find:
\( x > -1 \)

Answer:

\( x > -1 \)