Question

1. ( 3x + (-9) < -18 )

(with ( +9 ) added to both sides: ( +9 ) below ( -9 ) on left, ( +9 ) below ( -18 ) on right)
( 3x < -9 )
(number line with -9, 0, 9; open circle at -9, arrow pointing left)

Explanation:

Step1: Solve the inequality \(3x - 9 < -18\) by adding 9 to both sides.

\(3x - 9 + 9 < -18 + 9\)
\(3x < -9\)

Step2: Divide both sides of the inequality \(3x < -9\) by 3.

\(\frac{3x}{3} < \frac{-9}{3}\)
\(x < -3\)

Answer:

\(x < -3\)