Solve the inequality. Graph the solution set and write it in interval notation.

Question

3(3x+1)<3

Answer 1

To solve the inequality, we can start by distributing the 3 on the left side of the inequality:
9x + 3 < 3

Next, we can simplify by subtracting 3 from both sides of the inequality:
9x < 0

Then, we can divide both sides of the inequality by 9:
x < 0

Now, let's graph the solution set on a number line:

<=======o

The open circle represents the boundary of the solution set at x = 0, and the arrow indicates that the solution set includes all values less than 0.

In interval notation, the solution set can be written as (-∞, 0).