Question

somebody please help?? I have to solve the inequality ..... 3m-3(m+8)>3m

Answer 1

you have to solve for the variable "m" to complete the inequality
First, let's work on the left hand side of your inequality, the 3m-3(m+8)
This means, for instance, to see if it can be simplified at all.
Multiply m and 3
Multiply m and 1
The m just gets copied along.
The answer is m
m
3*m evaluates to 3m
m+8 evaluates to m+8
Multiply 3 by m+8
we multiply 3 by each term in m+8 term by term.
This is the distributive property of multiplication.
Multiply 3 and m
Multiply 1 and m
The m just gets copied along.
m
3 × m = 3m
Multiply 3 and 8
1
3 × 8 = 24
3*(m+8) evaluates to 3m+24
3m - 3m = 0
The answer is -24
3*m-3*(m+8) evaluates to -24
So, all-in-all, the left hand side of your inequality can be written as: -24
________________________________________
Now, let's work on the right hand side of your inequality, the 3m
Multiply m and 3
Multiply m and 1
The m just gets copied along.
The answer is m
m
3*m evaluates to 3m
The right hand side of your inequality can be written as: 3m
________________________________________
So with these (any) simplifications, the inequality we'll set out to solve is:
-24 › 3m

Move the -24 to the right hand side by adding 24 to both sides, like this:
To the left hand side:
-24 + 24 = 0
The answer is 0
To the right hand side:
The answer is 3m+24

Now, the inequality reads:
0 › 3m+24
Move the 3m to the left hand side by subtracting 3m from both sides, like this:
From the left hand side:
The answer is -3m
From the right hand side:
3m - 3m = 0
The answer is 24

Now, the inequality reads:
-3m › 24
To isolate the m, we have to divide both sides of the inequality by theother "stuff" (variables or coefficients)
around the m on the left side of the inequality.
________________________________________
The last step is to divide both sides of the inequality by -3 like this:
To divide m by 1
The m just gets copied along in the numerator.
The answer is m
-3m ÷ -3 = m
24 ÷ -3 = -8

Answer 2

thank you but is it m>-8 or m<-8 ?

Answer 3

it would be m<-8 because the sign flips when you multiply or divide

Answer 4

and your welcome