SOLUTION: solve the inequality. THANKS! 3(2-3x)+3x+5<-4(X-2)-2(x-3)-3

Question 64686: solve the inequality. THANKS!
3(2-3x)+3x+5<-4(X-2)-2(x-3)-3
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
QUESTION:

solve the inequality.

3(2-3x)+3x+5<-4(X-2)-2(x-3)-3

ANSWER:

3(2-3x) + 3x + 5 < -4(X-2) - 2(x-3) -3

Now remove parenthesis by multiplying them,

==> 3*2 - 3*3x + 3x + 5 < -4X + 4*2 - 2*x + 2*3 -3

==> 6 - 9x + 3x + 5 < - 4x + 8 - 2x + 6 -3

==> 6 + 5 - 9x + 3x < -4x - 2x + 8 + 6 - 3

==> 11 - 6x < - 6x + 11

You cannot solve this expression any more.
Because such an inequality is not possible.
_________________________________________________________________________

If your question is like this,(ignoring negative sign of 4 )

3(2-3x) + 3x + 5 < 4(X-2) - 2(x-3) -3,
Proceed as above. Then we have,

Now remove parenthesis by multiplying them,

==> 3*2 - 3*3x + 3x + 5 < 4X - 4*2 - 2*x + 2*3 -3

==> 6 - 9x + 3x + 5 < 4x - 8 - 2x + 6 -3

==> 6 + 5 - 9x + 3x < 4x - 2x - 8 + 6 - 3

==> 11 - 6x < 2x - 5

Now collect like terms together,

==> 11 + 5 < 2x + 6x

==> 16 < 8x

Divide both sides by 8

==> 16/8 < 8x/8

==> 2 < x

That is solution is x > 2.

If the inequality given in your question
is 'less than or equal to'( that is <= ),
Then soltuon becomes, x greater than or equal to 2 (that is x>= 2)

Check your question once again and if it is wrong, submit correct question once again.

Hope you understood.

Regards.

Praseena.

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