Respuesta :

lionfishelephan

Answer:

True

Step-by-step explanation:

12 > 9(2-3) - 21

First thing you do is use the distributive property.

9 times 2 is 18.

9 times -3 is -27

12 > 18 - 27 - 21

The second thing that you do is subtract everything on the other side of the less than sign.

18 - 27 = -9

-9 - 21 = -30

12 is greater than -30 because a positive number is always greater than a negative number.

Answer:  The required solution for x is [tex]x<3.33.[/tex]

Step-by-step explanation:  We are given to solve the following inequality for x :

[tex]12>9(2x-3)-21~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given inequality for x, we must bring x on the left hand side and other terms on the right hand side of the inequality.

From inequality (i), we have

[tex]12>9(2x-3)-21\\\\\Rightarrow 12>18x-27-21\\\\\Rightarrow 12>18x-48\\\\\Rightarrow 12+48>18x\\\\\Rightarrow 60>18x\\\\\Rightarrow 18x<60~~~~~~~~~~[\textup{since }a>b~~~\Rightarrow b<a]\\\\\Rightarrow x<\dfrac{60}{18}\\\\\Rightarrow x<3.33.[/tex]

Thus, the required solution for x is [tex]x<3.33.[/tex]

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