a number g subtracted from 6 is more than 3/4.

Answer 1

First, we should setup an inequality using the variable given in the problem, g. We are told that we are subtracting this number from 6, and that the result is more than 3/4. Therefore,

6 - g > 3/4

From here, we should get g by itself. We can start by subtracting 6 from both sides, which gives us:

-g > 3/4 - 6

To combine the fraction with the integer, -6, on the right side, we should make the 6 have a common denominator as 4, so we multiply by 4/4, which gives us -24/4. Once we have a common denominator, we can simply add or subtract the numerators. 3 - 24 which is -21, and the denominator will stay the same, making the right side -21/4, and the inequality -g > -21/4. The last step is to get rid of the negative sign on the g. To do this, we can either divide or multiply both sides by negative 1. When we multiply or divide by a negative though, the inequality sign will change direction, making our final answer:

g < 21/4