Twice the difference of x and 4 is greater than the reciprocal of 9.

Answer 1

First, "the difference of x and 4" can be written as : (x - 4)

Then, "twice the difference of x and 4" would be represented as: 2(x - 4)

The reciprocal of 9 is 1 and "greater than" can be represented with this symbol: >

9

Combining all these expressions would give you the following inequality: 2(x - 4) > 1

9

This inequality can be solved using inverse operations as follows:

2(x - 4) > 1

9

1 • 2(x -4) > 1 • 1

2 9 2

x - 4 > 1

18

x - 4 + 4 > 1 + 4

18

x > 4 1

18

This means that any number greater than 4 and 1/18 would be a valid solution.