Solve the inequality

[jakezepre]

4 - 2/3M greater or equal to -11 + m

I'm not sure if you should subtract M from the right side or add 2/3M to the left side.

 

[Deleted member 4993]

4 - 2/3M greater or equal to -11 + m

I'm not sure if you should subtract M from the right side or add 2/3M to the left side.

I would add 2/3 M to both sides and add 11 to both sides.

 

[lookagain]

4 - 2/3M greater or equal to -11 + m

I'm not sure if you should subtract M from the right side or add 2/3M to the left side.

jakezepre,

I wouldn't pick either choice if I had my option.

Clear the inequality of denominators by multiplying each term by the least common denominator, which is \(\displaystyle 3:\)

\(\displaystyle (4)(3) - \bigg(\frac{2}{3}m \bigg) \bigg(\frac{3}{1} \bigg) \ \ge \ (-11)(3) + (m)(3)\)

\(\displaystyle 12 - 2m \ \ge \ -33 + 3m\)


\(\displaystyle Then, \ as \ a \ suggestion, \ add \ 2m \ to \ each \ side \ and \ add \ 33\ to \ each \ side: \ \\)


\(\displaystyle \ 12 + 33 \ \ge \ 2m + 3m\)


\(\displaystyle \ And \ continue \ working \ it \ out . . .\)