SOLUTION: 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

SOLUTION: 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

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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