Question

solving inequalities
a
-8 -6 -4 -2 0 2 4 6 8
b
-8 -6 -4 -2 0 2 4 6 8
c
-8 -6 -4 -2 0 2 4 6 8
d
-8 -6 -4 -2 0 2 4 6 8
isolate the variable to solve 4x + 4 > -20. which number line shows the solution set?

Explanation:

Step1: Solve the inequality

To solve \(4x + 4 > -20\), first subtract 4 from both sides:
\(4x + 4 - 4 > -20 - 4\)
\(4x > -24\)

Step2: Divide by 4

Then divide both sides by 4:
\(\frac{4x}{4} > \frac{-24}{4}\)
\(x > -6\)

Step3: Analyze the number line

The solution \(x > -6\) means we have an open circle at -6 (since the inequality is strict, \(>\), not \(\geq\)) and the line goes to the right (because \(x\) is greater than -6). Looking at the options, option B has an open circle at -6 and the line extending to the right.

Answer:

B. The number line with an open circle at -6 and the line pointing to the right (as shown in option B's diagram)