Question

select the graph that would represent the best presentation of the solution set.

4x - 2 < 10

Explanation:

Step1: Solve the inequality

Add \(2\) to both sides of \(4x - 2<10\):
\(4x-2 + 2<10 + 2\), which simplifies to \(4x<12\).

Step2: Isolate \(x\)

Divide both sides by \(4\): \(\frac{4x}{4}<\frac{12}{4}\), so \(x < 3\).

Answer:

The graph with an open - circle at \(3\) and a line extending to the left (the last option in the given choices where there is an open - circle at \(3\) and the line goes to the left) represents the solution set \(x < 3\).