Question

solve the inequality. graph the solution set and write it in interval notation.
2x < - 4
choose the correct graph below.

Explanation:

Step1: Solve the inequality

Given \(2x < - 4\). Divide both sides by \(2\): \(x<-2\).

Step2: Analyze the graph

For \(x < - 2\), there is an open circle at \(x = - 2\) (since the inequality is strict, \(x
eq-2\)) and the arrow points to the left (towards smaller values of \(x\)).

Step3: Determine the interval notation

The interval notation for \(x < - 2\) is \((-\infty,-2)\).

Answer:

The solution set in interval notation is \((-\infty,-2)\). Assuming in the graph options (though not fully visible in text - based description), the graph with an open - circle at \(-2\) and arrow to the left (if \(A\) or \(C\) or others match this description, pick that one. But based on standard graphing of \(x < - 2\), the correct graph has an open circle at \(-2\) and shading to the left).