Q:

3n - 7 > n + 1 or 4n - 5 < 3n - 3

Accepted Solution

A:
Answer:n > 4Step-by-step explanation:3n - 7 > n + 1Move variable to the left side and change its sign3n - n - 7 > 1...3n - 7 > n + 1Move constant to the right side and change its sign3n - n > 1 + 7...3n - n > 1 + 7Collect the like terms2n < 1 + 7...3n - n > 1 + 7Add the numbers2n < 8Divide both sides of the inequality by 2Solution:n > 4 Answer:n < 2Step-by-step explanation:4n - 5 < 3n - 3Move variable to the left side and change its sign4n - 3n - 5 < - 3...4n - 5 < 3n -3Move constant to the right side and change its sign4n - 3n < - 3 + 5...4n - 3n < - 3 + 5Collect the like termsn < - 3 + 5...4n - 3n < - 3 + 5Calculate the sumn < 2...Solution:n < 2