Question

Give work for equations following:

-x+2y<-4
2x+3y>6

thanks sooooo much!!!!

Answer 1

Answer: See below

Explanation:

A)
`-x+2y < -4`

`-x+2y-2y < -4-2y`

`-x < -4-2y`

Multiply both sides by -1 and reverse the inequality:

`\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)`

`x > 4+2y`

B)
`2x+3y > 6`

`2x+3y-3y > 6-3y`

`2x > 6-3y`

`(2x)/(2) > (6)/(2)-(3y)/(2)`

`x > (6-3y)/(2)\\x > 3-(3y)/(2)`