i am trying to solve 4/x-2>5. i use calculator and mistakenly type of digit if other than 5. when i type in the problem ,so i get the wrong solution my answer was 2<x<y. what did i mistakenly type in?

Answer 1

4 / x - 2 > 5

4 / x > 5 + 2

4 / x > 7 Multiply both sides with x

4 > 7 x Divide both sides with 7

4 / 7 > x

This mean:

x < 4 / 7

x must be > 0 besouse in expresion:

4 / x - 2 > 5

4 / 0 = undefined

So solution are:

0 < x < 4 / 7

Answer 2

For negative numbers 4 / x - 2 is always negative so negative numbers can´t be sloutions.