Solve the inequality. Graph the solution set and write it in interval notation.
3(3x+1)<3
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).