SOLUTION: Write an inequality for each problem: 16. The difference of three times a number and 16 is at least 8. 18. Five less than the product of 6 and a number is no more than twice

Algebra ->  Graphs -> SOLUTION: Write an inequality for each problem: 16. The difference of three times a number and 16 is at least 8. 18. Five less than the product of 6 and a number is no more than twice       Log On


   



Question 153985: Write an inequality for each problem:
16. The difference of three times a number and 16 is at least 8.
18. Five less than the product of 6 and a number is no more than twice that same number.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
16. The difference of three times a number and 16 is at least 8.
Since you don't know what "a number" is -- assign it to a variable:
Let n = the number
So, now instead of:
The difference of three times a number and 16 is at least 8.
We now have:
The difference of three times x and 16 is at least 8.
Breaking it up further:
The "difference of three times x and 16" is at least "8".
3x - 16 <= 8

18. Five less than the product of 6 and a number is no more than twice that same number.
Again, since you don't know what "a number" is assign it to a variable:
Let n = the number
When you see "product" -- think multiplication
When you see "is" -- think equal sign
When you see "no more than" -- think <
Putting it all together:
6x-5 <= 2x