Question

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

Explanation:

Step1: Isolate x

Divide both sides of $2x < - 4$ by 2. So, $\frac{2x}{2}<\frac{-4}{2}$.

Step2: Simplify

We get $x < - 2$.

Step3: Analyze graph

The graph of $x < - 2$ is a number - line with an open circle at - 2 and an arrow pointing to the left.

Step4: Write in interval notation

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

Answer:

The correct graph is the one with an open - circle at - 2 and an arrow pointing to the left (assuming option C is of this type). The solution in interval notation is $(-\infty,-2)$.