Question

-b -2>8 solve
help with this problem

Answer 1

Our answer is b < -10.

`\Large\texttt{Explanation}`

We are asked to solve the following inequality:

-b - 2 > 8

so, the point is that we need to isolate b. and to isolate b we add 2 to both sides -

-b > 8 + 2

-b > 10

divide both sides by -1, and don't forget to reverse the inequality sign since we're dividing both sides by a negative number -

b < -10

`\therefore` b < -10

Answer 2

b < -10

Explanation:

we are given the inequality

`- b - 2 > 8`

first, let us add both sides with 2.

`- b > 10`

then, we divide both sides by -1, but note that when we multiply/divide with negative numbers, we will swap the inequality sign.

`\therefore b < - 10`

OPTIONAL

the reasoning behind the swap can be shown algebraically.

let x and y be arbitrary values. assume that x > y.

`x > y \\ x - y > y - y \\ x - y > 0 \\ x - y - x > - x \\ - y > - x \\ \therefore - x < - y`