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Question 285551: This has to do with inequalities
8 (x + 4) < 4 (x + 16)
Is one of these are the solutions
1) x/x < 10 or is it x/x < 8
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! Equation is:
8 * (x + 4) < 4 * (x + 16)
Simplify by removing parentheses to get:
8*x + 4*8 < 4*x + 4*16
Simplify to get:
8*x + 32 < 4*x + 64
Subtract 4*x from both sides of the equation to get:
4*x + 32 < 64
Subtract 32 from both sides of the equation to get:
4*x < 32
Divide both sides of the equation by 4 to get:
x < 8
That should be your solution.
Assume x = 7 and substitute in your original equation to get:
8 * (7 + 4) < 4 * (7 + 16) which becomes:
8*(11) < 4*(23) which becomes:
88 < 92.
Since this is true, it confirms that the inequality is good.
Assume x = 8 and substitute in your original equation to get:
8 * (8 + 4) < 4 * (8 + 16) which becomes:
8*(12) < 4*(24) which becomes:
96 < 96.
Since this is false, it confirms that the inequality is good because x had to be smaller than 8, not equal to 8.
Assume x is 9.
Your answer of x/x < 10 or x/x < 8 doesn't make sense.
x/x will always be equal to 1 unless x is 0, in which case the answer would be indeterminate.
If you meant x < 10 or x <8, then one of your answer is good, namely the one that says x < 8.
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