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

Question

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

zepdrix · Answer

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

zepdrix · Answer

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

zepdrix · Answer

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.

zepdrix · Answer

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

scarlettfarra2000 · Answer

$$83-2(12)\le8+3(12)$$

scarlettfarra2000 · Answer

$$83-24\le8+36$$