Question

Write the following sentence using mathematical symbols. Twice the difference of x and 7 is greater than the reciprocal of 10.

Answer 1

2(x-7) > 1/10

Explanation:

The statement says, twice the difference of x and 7. This implies that it wants the difference of x and 7, x - 7, and it wants twice that difference so:

2 ( x - 7 )

The statement continues that this twice the difference of x and 7 is greater than the reciprocal of 10. The reciprocal of 10 is 0.1 or 1/10.

Hence, the statement should be written as such:

2 ( x - 7 ) > 1/10 OR 2 ( x - 7 ) > 0.1

Cheers.