Respuesta :

12x > 9(2x - 3) -15

12x > 9*2x - 3*9 - 15

12x > 18x - 27 - 15

12x > 18x - 42

12x - 18x > -42

-6x > - 42    Divide both sides by -6 and the sign changes

x < -42/-6

x < 7

I hope this helps.

Answer:

The value of x is x<7.

Step-by-step explanation:

Consider the provided inequality.

[tex]12x>9(2x-3)-15[/tex]

Distributive property: [tex]a(b+c)=ab+ac[/tex]

Apply the distributive property:

[tex]12x>18x-27-15[/tex]

[tex]12x>18x-42[/tex]

Add 42 from both side and subtract 12x from both side.

[tex]12x-12x+42>18x-42-12x+42[/tex]

[tex]42>6x[/tex]

Divide both side by 6.

[tex]7>x[/tex]

Hence, the value of x is x<7.

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