Question

How do you solve `12> 4- \frac { 6y } { 7}`?

Answer 1

`y > -28/3`

Explanation:

As explained below:

`12>4-(6y)/7`

Subtract `4` both sides:

`12-4>(4-4)-(6y)/7`

`12-4>cancel(4-4)-(6y)/7`

`8 > -(6y)/7`

Multiply by `7` both sides:

`8 xx 7 > -(6y)/7 xx 7`

`56 > -(6y)/cancel7 xx cancel7`

`56> -6y`

When diving or multiplying by negative number, the inequality sign changes to opposite sign: `>` changes to `<`

so now e get:

`56/-6< y`

`-28/3 < y`