Question

write the solution set in interval notation.
3x < 6

the solution set is
(type your answer in interval notation.)

Explanation:

Step1: Solve the inequality for x

To solve \(3x < 6\), we divide both sides of the inequality by 3. Since 3 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{3x}{3} < \frac{6}{3}
\]
Simplifying both sides, we get:
\[
x < 2
\]

Step2: Write the solution in interval notation

For the inequality \(x < 2\), the solution set includes all real numbers less than 2. In interval notation, this is represented as \((-\infty, 2)\). The parenthesis on the left indicates that \(-\infty\) is not a specific number and is not included, and the parenthesis on the right indicates that 2 is not included in the solution set.

Answer:

\((-\infty, 2)\)