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Question 100231: solve the following inequality for x. Then, describe the one-dimentional graph that you would draw o represent the solution. (Indicate where the line would begin, which way it points, etc.) Show all steps.
-2(x+6)>x+4
Answer by ckaeser(6)   (Show Source):
You can put this solution on YOUR website! -2(x+6)>x+4
Multiply -2 by each term inside the parenthesis (x+6).
(-2(x)-2(6))>x+4
Complete the multiplication of -2 by each term inside the parenthesis.
(-2x-12)>x+4
Remove the parenthesis around the expression -2x-12.
-2x-12>x+4
Since x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting x from both sides.
-2x-12-x>4
Since -2x and -x are like terms, subtract x from -2x to get -3x.
-3x-12>4
Since -12 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 12 to both sides.
-3x>12+4
Add 4 to 12 to get 16.
-3x>16
Divide each term in the inequality by -3.
-(3x)/(-3)<(16)/(-3)
Simplify the left-hand side of the inequality by canceling the common terms.
x<(16)/(-3)
Simplify the right-hand side of the inequality by simplifying each term.
x<-(16)/(3)
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