Question

for each value of v, determine whether it is a solution to 4 + 9v < -32.

v	is it a solution?
8	∘	∘
-8	∘	∘
-4	∘	∘

Explanation:

Step1: Solve the inequality \(4 + 9v < -32\)

Subtract 4 from both sides: \(9v < -32 - 4\)
Simplify: \(9v < -36\)
Divide both sides by 9: \(v < -4\)

Step2: Check each value of \(v\)

• For \(v = 7\): \(7 < -4\)? No.
• For \(v = 8\): \(8 < -4\)? No.
• For \(v = -8\): \(-8 < -4\)? Yes (since -8 is less than -4).
• For \(v = -4\): \(-4 < -4\)? No (it's equal, not less than).

Answer:

\(v\)	Is it a solution?
7		\(\boldsymbol{\circ}\)
8		\(\boldsymbol{\circ}\)
-8	\(\boldsymbol{\circ}\)
-4		\(\boldsymbol{\circ}\)