Question

solve the inequality. graph the solution set and write it in interval notation. 4x < - 8. choose the correct graph below. write the answer in interval notation.

Explanation:

Step1: Isolate the variable x

Divide both sides of $4x < - 8$ by 4. Since 4>0, the inequality sign remains the same. So $x<\frac{-8}{4}$.
$x < - 2$

Step2: Graph the solution

The solution $x < - 2$ is graphed as an open - circle at - 2 (because x is strictly less than - 2, not equal to) and an arrow pointing to the left on the number line.

Step3: Write in interval notation

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

Answer:

The correct graph is A (open - circle at - 2 and arrow to the left). The solution in interval notation is $(-\infty,-2)$