SOLUTION: 1.2x – (7 + x) < x
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Question 268938: 1.2x – (7 + x) < x
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
1.2x-(7+x)
Reorder the polynomial 7+x alphabetically from left to right, starting with the highest order term.
1.2x-(x+7)
Multiply -1 by each term inside the parentheses.
1.2x+(-x-7)
Since 1.2x and -x are like terms, add -x to 1.2x to get 0.2x.
0.2x-7
Since x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting x from both sides.
0.2x-7-x<0
Since 0.2x and -x are like terms, add -x to 0.2x to get -0.8x.
-0.8x-7<0
Since -7 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 7 to both sides.
-0.8x<7
Divide each term in the inequality by -0.8.
-(0.8x)/(-0.8)>(7)/(-0.8)
Cancel the common factor of -0.8.
x>(7)/(-0.8)
Simplify the right-hand side of the inequality by simplifying each term.
x>-8.75
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