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

Algebra ->  Inequalities -> 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      Log On


   

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) About Me  (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"?


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

When placed between rendering tags, 2.3%2B2%28x%2B5%29%3Ex%2B5%28x%2B1%29%2B1
Similar to handling an equation, isolate the variable and do any simplifications.

2.3%2B2x%2B10%3Ex%2B5x%2B5%2B1

2x%2B2.3%2B10%3Ex%2B5x%2B6

Let's turn this around, but watch the order relation symbol carefully:
x%2B5x%2B6%3C2x%2B2.3%2B10

6x%2B6%3C2x%2B12.3

"Subtract" 2x from both sides.
4x%2B6%3C12.3

4x%3C12.3-6

4x%3C6.3

Divide both sides by the POSITIVE 4.
x%3C6.3%2F4

highlight%28x%3C1.575%29

Answer by MathTherapy(10555) About Me  (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 ======> 6.3%2F4+%3E+x ======> 1.575+%3E+x, which means that: highlight_green%28x+%3C+1.575%29, since switching sides REVERSES the inequality sign.

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