Question

which graph shows the solution to the inequality $-3x - 7 < 20$?

Explanation:

Step1: Solve the inequality for \(x\)

Add \(7\) to both sides of \(-3x - 7<20\):
\(-3x-7 + 7<20 + 7\)
\(-3x<27\)

Step2: Divide both sides by \(- 3\) and reverse the inequality sign

Since we divide by a negative number (\(-3\)), the inequality sign flips.
\(\frac{-3x}{-3}>\frac{27}{-3}\)
\(x>-9\)

Answer:

The graph with an open circle at \(-9\) and a line extending to the right (the second - option in the given choices, assuming the second graph has an open circle at \(-9\) and a right - pointing arrow)