Question

solve for x and graph the solution on the number line below.
-3x < 27

answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
submit answer

Explanation:

Step1: Divide both sides by -3 (reverse inequality)

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-3x < 27\) by \(-3\):
\(\frac{-3x}{-3} > \frac{27}{-3}\)

Step2: Simplify both sides

Simplifying gives \(x > -9\).

Answer:

Inequality Notation: \(x > -9\)
(For the number line: Place an open circle at \(-9\) and draw an arrow to the right, indicating all numbers greater than \(-9\).)