Question

How do I even start this equation
-6n-42<-6(n+6)

Answer 1

n = 14

Explanation:

Step 1: Do the distributive property

-6(n+6)

→ -6n-36

Step 2: add (-6n-36) into the inequality

→ -6n-42<-6n-36

Step 3: Combine like terms

→ -6-42<-6n-36

→ -48<-6n-36

→ -84<-6n

Alright! You've simplified the inequality to these two terms! Let's find n!

Step 4: Solve for n

→
`(-84)/(-6) < (-6n)/(-6)`

(Sorry if that looks blurry. But it says this: -84/-6 < -6n/-6)

n = 14

Step 5: (optional) Check your answer

-6(14)-42 < -6(14+6)?

-126 < -120 ✔