Question

Which inequality represents the solution to the inequality below? 2/3m + 3 < m - 4 A. m < 21. B. m < 18. C. m > 21. D. m > 18.

Answer 1

m > 21

Explanation:

Given the inequality expression

2/3m + 3 < m - 4

Multiply through by 3

2/3 m * 3 + 3(3) < 3(m-4)

2m+9 < 3m-12

Collect the like terms

2m - 3m < -12 - 9

-m < -21

Multiply through by -1

-1(-m)>-1(-21)

m > 21

Hence the required solution is m > 21