SOLUTION: Please help me solve this inequality: 2.3+2(x+5) > x+5(x+1)+1 What I did so far.. 2.3+2x+10 > x+5x+5+1 (distributed) 12.3+2x > 6x+6 (combined like terms) -2x -2x

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Question 1046903: Please help me solve this inequality:
2.3+2(x+5) > x+5(x+1)+1
What I did so far..
2.3+2x+10 > x+5x+5+1 (distributed)
12.3+2x > 6x+6 (combined like terms)
-2x -2x (subtracted 2x from both sides)
12.3 > 4x+6
-6 -6 (subtracted 6 from both sides)
6.3 > 4x
what now?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
Just to be absolutely clear, WHAT is the inequality with which you begin? Is the first term, "3", or is it "2.3"?


--
Now clarified: 2.3+2(x+5)>x+5(x+1)+1

When placed between rendering tags,
Similar to handling an equation, isolate the variable and do any simplifications.





Let's turn this around, but watch the order relation symbol carefully:




"Subtract" 2x from both sides.






Divide both sides by the POSITIVE 4.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Please help me solve this inequality:
2.3+2(x+5) > x+5(x+1)+1
What I did so far..
2.3+2x+10 > x+5x+5+1 (distributed)
12.3+2x > 6x+6 (combined like terms)
-2x -2x (subtracted 2x from both sides)
12.3 > 4x+6
-6 -6 (subtracted 6 from both sides)
6.3 > 4x
what now?
You did it correctly! Good job!

Let's continue from where you got stuck

6.3 > 4x ======>  ======> , which means that: , since switching sides REVERSES the inequality sign.

PAY NO ATTENTION to what the other person is advising! Again, good job! 

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