SOLUTION: Write and solve an inequality. the difference of three fourth of a number and 6 is more than 10. what could te number be?

Question 830605: Write and solve an inequality. the difference of three fourth of a number and 6 is more than 10. what could te number be?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
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.
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