Question 285551
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.