# Algebra

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Solve using set builder notation, show all work. 12x-25 is greater than or = to 3x-5(x+6)

• Algebra -

5 ( x + 6 ) = 5 x + 30

12 x - 25 ¡Ý 3 x - 5 ( x + 6 )

12 x - 25 ¡Ý 3 x - ( 5 / x - 6 ) )

12 x - 25 3 x - ( 5 x + 30 )

12 x - 25 ¡Ý 3 x - 5 x - 30

12 x - 25 ¡Ý - 2 x - 30

Add 2 x to both dides

12 x - 25 + 2 x ¡Ý - 2 x + 2 x - 30

14 x - 25 ¡Ý - 30 Add 25 to both sides

14 x - 25 + 25 ¡Ý - 30 + 25

14 x ¡Ý - 5 Divide both sides by 14

x ¡Ý - 5 / 4

• Algebra -

Remark:

¡Ý

mean greater or equal

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