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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.
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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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