# pre-calc

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How do you solve this inequality?

2x over 4 minus 5x+1 over 3 is greater than 3

• pre-calc -

multiply each term by 12 to get

6x - 20x - 4 > 36

It should be easy from here on, let me know what you got

• pre-calc -

I assume that you mean
(2x/4) - (5x+1)/3 > 3
x/2 - (5x+1)/3 > 3
Multiply both sides by 6.
3x - 10x -2 > 18
Add 2 to both sides and combine x terms.
-7x > 20
Divide both sides by -7. Multiplying by a negative number requires that the direction of > be reversed.
x < 20/7
(IF I interpreted your original inequality correctly)

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