Which region is represented by (x< -2)?

Correct answer: the region to the left of \(x=-2\), excluding the line

In \(x<-2\), every solution point has an \(x\)-coordinate less than \(-2\). Hence, the required half-plane lies to the left of the vertical boundary line \(x=-2\). Since the inequality is strict, the boundary line is not included and is drawn as a dashed line. Option B includes the right side and the boundary, which would represent \(x\ge -2\). Exam tip: for inequalities involving \(x\), check left or right of the vertical line; use a dashed boundary for \(<\) or \(>\).