Question 830605
Let x be the unknown number.
3/4x - 6 > 10
Add 6 to each side:
3/4x > 16
Multiply each side by 4/3:
x > 4/3 * 16
Do the multiplication:
x > 64/3
Reduce
x > 21 1/3
.
Let's pick a number to make certain it's correct.  How about 24?  (24 is easily divisible by 3/4)
3/4(24) - 6 > 10
18 - 6 > 10
That works.  Let's try one that shouldn't work if the equation is correct.  We'll use 20.
3/4(20) - 6 > 10
15 - 6 > 10
9 > 10
Since 9 is NOT greater than 10, it does not work in the equation.  We should have expected that 20 would not work given that our equation specified that x was greater than 21 1/3.