Question

solve the inequality and graph the solution
3(5x + 1) < 3
choose the correct graph below

Explanation:

Step1: Solve the inequality

Given \(3(5x + 1)<3\).
First, divide both sides by 3: \(\frac{3(5x + 1)}{3}<\frac{3}{3}\), which simplifies to \(5x+1 < 1\).
Then, subtract 1 from both sides: \(5x+1 - 1<1 - 1\), so \(5x<0\).
Next, divide both sides by 5: \(\frac{5x}{5}<\frac{0}{5}\), getting \(x < 0\).

Step2: Analyze the graph

Since \(x < 0\), the graph should have an open - circle at \(x = 0\) (because the inequality is strict, \(x
eq0\)) and the line should extend to the left (towards negative infinity).

Answer:

Assuming option D has an open - circle at \(0\) and the line extending to the left (negative direction), the answer is D.