Question

solve the inequality. graph the solution set and write it in interval notation. 2x < - 8
choose the correct graph below.

Explanation:

Step1: Isolate the variable x

Divide both sides of $2x < - 8$ by 2.
$x<\frac{-8}{2}$

Step2: Simplify the right - hand side

$x < - 4$

To graph the solution set on a number line:

• Draw a number line.
• Mark a point at - 4. Since the inequality is $x < - 4$ (strict inequality), we use an open circle at - 4.
• Shade the line to the left of - 4 to represent all the values of x that satisfy the inequality.

In interval notation, the solution set is $(-\infty,-4)$.

The correct graph is the one with an open circle at - 4 and shading to the left. So the correct graph is A.

Answer:

A. The graph with an open circle at - 4 and shading to the left; Interval notation: $(-\infty,-4)$