4x + 8 - 2x - 1 < 3(x+2) -x
______________________
....4.........3....
(To clarify, it's 4x+8 divided by 4 minus 2x-1 divided by 3 is less than 3(x+2) minus x.)
First of all, make it the same denominator at the left side:
multiply(4x + 8)/4 by 3 and (2x -1)/3 by 4.
Then simplify it
you should get (x+7)/3 < 2x+6
make it (x+7)/3 < 2x+6/1 and cross multiply
Which give you x+7 < 6x+18
Bring x to one side, number to the other
Final answer is negative fraction.
Correct me if I'm wrong.
4x + 8/4 reduces to
x + 2
2x - 1 over 3 will not reduce (so we multiply by three)
3(x + 2) - x = 2x + 6
so that
x + 2 -{2x-1/3} < 2x + 6
3x + 6 -2x + 1 < 6x + 18
5x + 7 < 6x +18
0 < X + 11
-11 < X
I guess - sorry I am so sleepy
(4x+8)/4 - (2x-1)/3 < 3(x+2)-1 simplyfing we get:
x+2 -(2x-1)/3 < 3x +5 now multiply both sides by 3:
= 3x + 6 -2x +1 < 9x +15
= x + 7 < 9x + 15 now subtract x from both sides
= 7 < 8x +15 now subtract 15 from both sides
= -8 < 8x or -1 <x
x>-1
(4x + 8 )/4 - (2x-1)/3 < 3(x+2)-x
(4x + 8)/4 = x + 2
x+2 - (2x-1)/3 < 3(x+2)-x || ( )*3
3x + 6 - (2x-1) < 9(x+2)-3x
3x -2x + 6+1 < 9x+18 -3x
3x-2x-9x+3x <18-6-1
-5x <11
x> - 2,2
x+2-(2/3)x-(1/3)<3x+6-x...............first distribute everything
(1/3)x+(5/3)<2x+6.......................combine like terms
(5/3)<(5/3)x+6............................get all of the x's on one side
-(13/3)<(5/3)x.............................get all of the constants on one side
-(13/5)<x....................................divide both sides by 5/3 to get x by itself
so, x>-13/5 or x>-2.6 is the final answer!!!
Sorry mate; it is far too convoluted to commit time to deciphering
Re-express and I will help. Hint, use more brackets, parentheses ...
Comments
First of all, make it the same denominator at the left side:
multiply(4x + 8)/4 by 3 and (2x -1)/3 by 4.
Then simplify it
you should get (x+7)/3 < 2x+6
make it (x+7)/3 < 2x+6/1 and cross multiply
Which give you x+7 < 6x+18
Bring x to one side, number to the other
Final answer is negative fraction.
Correct me if I'm wrong.
4x + 8/4 reduces to
x + 2
2x - 1 over 3 will not reduce (so we multiply by three)
3(x + 2) - x = 2x + 6
so that
x + 2 -{2x-1/3} < 2x + 6
3x + 6 -2x + 1 < 6x + 18
5x + 7 < 6x +18
0 < X + 11
-11 < X
I guess - sorry I am so sleepy
(4x+8)/4 - (2x-1)/3 < 3(x+2)-1 simplyfing we get:
x+2 -(2x-1)/3 < 3x +5 now multiply both sides by 3:
= 3x + 6 -2x +1 < 9x +15
= x + 7 < 9x + 15 now subtract x from both sides
= 7 < 8x +15 now subtract 15 from both sides
= -8 < 8x or -1 <x
x>-1
(4x + 8 )/4 - (2x-1)/3 < 3(x+2)-x
(4x + 8)/4 = x + 2
x+2 - (2x-1)/3 < 3(x+2)-x || ( )*3
3x + 6 - (2x-1) < 9(x+2)-3x
3x -2x + 6+1 < 9x+18 -3x
3x-2x-9x+3x <18-6-1
-5x <11
x> - 2,2
x+2-(2/3)x-(1/3)<3x+6-x...............first distribute everything
(1/3)x+(5/3)<2x+6.......................combine like terms
(5/3)<(5/3)x+6............................get all of the x's on one side
-(13/3)<(5/3)x.............................get all of the constants on one side
-(13/5)<x....................................divide both sides by 5/3 to get x by itself
so, x>-13/5 or x>-2.6 is the final answer!!!
Sorry mate; it is far too convoluted to commit time to deciphering
Re-express and I will help. Hint, use more brackets, parentheses ...