How do you solve this inequality?
??steps, please??
Favorite Answer
2x+6-5>10+x then combine terms
2x+1>10+x move the 1 to the lfet by subtracting from both sides
2x+1-1> 10+x-1 combine
2x > 9+x subtract x from both sides
2x-x> 9+x-x combine
x>9 solution
Double check
2(9+3)-5>10+9
24-5>19
so x must be greater than 9
I would start by grouping the x terms by putting all the x terms on one side and all the normal numbers on the other.
(add 5 and subtract x to both sides)
2(x+3) -5 +5 -x > 10 + x -x +5 =
2(x+3) – x > 10 +5=
2(x+3) – x > 15
I would then distribute 2 in the 2(x+3) term.
2x+6 – x > 15
Then solve for x again by separating the x terms and the whole numbers. (subtract 6 to both sides)
2x + 6 – x – 6 > 15 – 6=
2x – x > 9
x > 9
^ That should be the answer, but always double check your work!
A term that is more than 9 would be 10, so I would plug in 10 into the first equation.
2(10+3) -5 > 10 + 10
2(13) -5 >20
26 -5 >20
21 > 20
So that is correct. So “x>9” would be the solution.
Re-group: 2x – x > 10 – 6 + 5
Result: x > 9
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