Question

for each value of u, determine whether it is a solution to -4u - 1 > 23.

u	is it a solution?
3	∘ (yes)	∘ (no)
-6	∘ (yes)	∘ (no)
-10	∘ (yes)	∘ (no)

Explanation:

Step1: Solve the inequality \(-4u - 1>23\)

Add 1 to both sides: \(-4u - 1 + 1>23 + 1\), which simplifies to \(-4u>24\).
Divide both sides by -4 (remember to reverse the inequality sign when dividing by a negative number): \(u < - 6\).

Step2: Check each value of \(u\)

• For \(u = 8\): \(8<-6\)? No.
• For \(u = 3\): \(3<-6\)? No.
• For \(u=-6\): \(-6<-6\)? No (since it's not less than, it's equal).
• For \(u = - 10\): \(-10<-6\)? Yes.

Answer:

• \(u = 8\): No
• \(u = 3\): No
• \(u=-6\): No
• \(u = - 10\): Yes

(To fill the table: For \(u = 8\), select "No"; for \(u = 3\), select "No"; for \(u=-6\), select "No"; for \(u = - 10\), select "Yes".)