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Verified Answer :

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

12x > 92x - 39 - 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.

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

Distributive property: \(a(b+c)=ab+ac\)

Apply the distributive property:

\(12x>18x-27-15\)

\(12x>18x-42\)

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

\(12x-12x+42>18x-42-12x+42\)

\(42>6x\)

Divide both side by 6.

\(7>x\)

Hence, the value of x is x<7.