Solve for m: 3m – 4n + 6p > 5n + 2p – 8

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the inequality:

3m - 4n + 6p > 5n + 2p - 8

Solve for m.

Solution:

In order to solve for m, we simply needed to transpose -4n and 6p to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

3m - 4n + 6p > 5n + 2p - 8

3m > 5n + 2p - 8 + 4n - 6p

3m > 9n - 4p - 8

Divide both sides by 3 in order to determine the value of m.

3m/3 > (9n - 4p - 8)/3

m > 3n - 4/3p - 8

Final answer:

m > 3n - 4/3p - 8