Solve for m: 18d – 2m + 9k < 5k + 10.

Mathematics · High School · Thu Jan 21 2021

Answered on

Given the numerical inequality:

18d – 2m + 9k < 5k + 10

Solve for m.

Solution:
In order to solve for m, we simply need to transpose -2m and 5k + 10 to their opposite sides of the equation. Hence, we must take note that in transposing a number, the sign changes.

18d – 2m + 9k < 5k + 10

18d + 9k -5k - 10 < 2m

18d + 4k - 10 < 2m

Divide both sides by 2 in order to determine the value of m.

(18d + 4k - 10)/2 < 2m/2

9d + 2k - 5 < m

Final answer:

9d + 2k - 5 < m