Question

Translate the sentence into an inequality.

Twice the difference of a number and 5 is at most 27.
Use the variable b for the unknown number.

Answer 1

2b-10≤27

Explanation:

In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.

`2(b-5)\leq 27\\2b-10\leq 27\\`

If you wish to solve for b from here, simply isolate the term containing b and solve from there.

I hope this helps! Let me know if you have any questions :)

Answer 2

2(x - 5) < 27

Explanation:

Equation

2(b - 5)<27

Explanation

Break this down

difference means subtract.

The number is b

and finally for now, the difference between a number and 5 is

x - 5

Twice that difference is

2(x - 5)

And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.

26.999999999999 < 27

So the final result is

2(x - 5) < 27