Question

Solve for m: 18d – 2m + 9k < 5k + 10.

A- m > –7k – 9d + 5
B- m < –7k – 9d + 5
C- m > 2k + 9d – 5
D- m < 2k + 9d – 5

Answer 1

Option (c) is correct.

m > 2k - 5 + 9d

Explanation:

Given : 18d – 2m + 9k < 5k + 10

We have to solve for m.

Consider the given 18d – 2m + 9k < 5k + 10

Subtract 9k both side, we have,

18d – 2m + 9k - 9k < 5k + 10 - 9k

Simplify, we have,

18d – 2m < -4k + 10

Again subtract 18d both side, we have,

18d – 2m - 18d < -4k + 10 -18d

Simplify, we have,

– 2m < -4k + 10 -18d

Multiply both side by -1 and this reverse the inequality, we have,

2m > 4k - 10 + 18d

Divide both side by 2 , we have,

m > 2k - 5 + 9d

Thus, Option (c) is correct.

Answer 2

-2m<5k+10-18d-9k
-2m<-4k-18d+10
-m<2(-2k-9d+5)/2
-m<-2k-9d+5
m>2k+9d-5 (when divided by -1 the inequality changes)
c is anwer