Question

Which number is a solution of 5m<6m+6
a) -8
b) -5
c) -6
d) -7

Answer 1

Is this it:
\[5m<6m+6\]
?

Answer 2

Assuming it is
Equation: \(5m<6m+6\)
First, take away both sides by \(6m\) to move it to the LHS
\(5m<6m+6\)
\(5m-6m<6m+6-6m\)
\(5m-6m<\cancel{6m}+6\cancel{-6m}\)
\(5m-6m<6\)
\(-m<6\)
Divide both sides by \(-1\). Remember, when you divide or multiply by a negative number in an inequality, you flip the signs
\(-m<6\)
\[\frac{-1\times m}{-1}>\frac{6}{-1}\]\[\frac{\cancel{-1}\times m}{\cancel{-1}}>\frac{6}{-1}\]\[m>\frac{6}{-1}\]\[m=-6\]
TADA

Answer 3

@Ahsome The solution to your inequality is m > -6.

So, -6 is not the answer to the posted question because -6 is not > -6.

Answer 4

im so confused...

Answer 5

Sorry, whoops

Answer 6

I mean \(m\) HAS to be bigger than \(-6\)
Which gives \(-5\) as the only answer

Answer 7

Sorry @Directrix

Answer 8

thanks guys! (:

Answer 9

NP :)

Answer 10

@Ahsome I agree with your revised answer. It is easy to get mixed up on inequalities.

Answer 11

Yes, yes it can be @Directrix