Solve for x: (2x - 3) / 4 < (3x + 1) / 3?

Question

Solve for x:(2x-3)/4<(3x+1)/3


Please Show your Solution!

Answer 1

Multiply by 12 to remove denominators:

3 (2x - 3) < 4 (3x + 1)

Distribute the values and isolate x:

6x - 9 < 12x + 4
-13 < 6x
-13/6 < x (or x > -13/6)

Answer 2

Step one, get rid of the pesky fractions by multiplying both sides by 12. We get

3(2x - 3) < 4(3x + 1) Now distribute

6x - 9 < 12x + 4 Now simplify

-13 < 6x Now divide by 6

-13/6 < x

Answer 3

Hi,

2x.-.3....3x.+.1
-------.<.---------
....4...........3

To eliminate fractions, multiply both sides by 12. Remember multiplying by a positive number does not change the inequality.

12(2x.-.3)....12(3x.+.1)
-------------.<.--------------
....4....................3

This reduces to:

3(2x.-.3)..<..4(3x.+.1)

Distribute to eliminate parentheses.

6x.-.9..<..12x.+.4

Subtract 12x and add 9 to both sides. Then simplify.

-6x < 13

Divide by -6. Remember that dividing by a -6 will reverse the inequality sign.

x > -13/6 <== answer
x > -2 1/6 <== answer as a mixed number

I hope that helps!! :-)

Answer 4

you will desire to have 3 solutions to this question a million. (2x-3) > 0 2x>3 x>3/2 2. 3x+4 > 0 3x >-4 x>-4/3 3. x-a million>0 x >a million x>a million If any of the contraptions in parenthesis are 0, then your finished equation is going to 0

Answer 5

3(2x-3)<4(3x+1) (by multiplying through by denominators)
6x-9<12x+3 (by multiplying out brackets)
6x<12x+12 (by adding 9 to both sides)
-6x<12 (by taking 12x from both sides)
-x<2 (by diving by 6)
x>2 (swapping signs swaps the inequality)


you really should be asking your teacher if you don't get how to do these questions!

Answer 6

(2x-3)/4<(3x+1)/3;
3(2x-3)<4(3x+1)
6x-9<12x+4
-13<6x;
x>-13/6

Answer 7

Im not good at math lol