Respuesta :

noahaceja
Answer:

(x-1/2)-(x-2/3)>(x-3/4)
Multiply both sides by 12
6(x-1)-4(x-2)>3(x-3)
6x-6-4x+8>3x-9
6x-4x-6+8>3x-9
2x+2>3x-9
Move 3x to the left, and move 2 to the right; change the signs for both
2x-3x>-9-2
-x>-11
Change the signs
x<11
hnori22003

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[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]

Multiply sides by 12

[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]

[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]

[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]

[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]

[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]

[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]

Collect like terms

[tex](6 - 4)x + 2 > 3x - 9[/tex]

[tex]2x + 2 > 3x - 9[/tex]

[tex]3x - 9 < 2x + 2[/tex]

Add sides 9

[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]

[tex]3x > 2x + 11[/tex]

Subtract sides 2x

[tex] - 2x + 3x > - 2x + 2x + 11[/tex]

[tex]x > 11[/tex]

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