Question

Please help on this thanks

Answer 1

2n - 4 < 3n - 6
2n < 3n - 2
-n < - 2
n > 2
The answer would be D

Answer 2

`2(n-2)<3n-6`

↝ Multiply 2 inside (n-2) as we get 2n-4

`2n-4<3n-6`

↝ Inequality is almost the same as equation so you just do the same like equation.

`2n-4-3n+6<0\\-n+2<0\\-n<-2`

↝ Since it's Inequality. When the variable is negative, you have to make it positive.

`n<(-2)/(-1)\\n<2`

↝ BUT! n < 2 isn't the right answer.

↝ Because for Inequality. Taking out the negative/Move the negative variable to another side ( from -n to n and -2 to -2/-1 = 2).

↝ You have to swap the inequality symbol after taking the off the negative variable.

↝ For example, if it is -n < 2 then the answer will be n > -2

or -n < -3 then the answer will be n > 3

But if it is n>2-3 as we get n>-1, not n < -1 because the variable isn't negative at all.

Basically, we swap the inequality symbol when it's negative variable.

↝ Therefore, it's not n < 2 but it is n > 2

So the right choice is n > 2 also known as the ( D ) answer.