Question

Which value of m makes the statement true?
83-2m≤8+3m
A) 4
B) 7
C) 12
D) 15

Answer 1

\[\large\rm 83-2(\color{orangered}{m})\le 8+3(\color{orangered}{m})\]Hmm let's try plugging in \(\large\rm \color{orangered}{m=4}\) and see what happens.

Answer 2

\[\large\rm 83-2(\color{orangered}{4})\le 8+3(\color{orangered}{4})\]

Answer 3

Multiplying some stuff,
and then doing addition/subtraction where needed,
gives us,\[\large\rm 75\le 20\]75 is NOT less than or equal to 20.
Ooo looks like m=4 is not the one we're looking for.

Answer 4

Can you try one of the other options using the same steps? :)

Answer 5

\[83-2(12)\le8+3(12)\]

Answer 6

\[83-24\le8+36\]