Question

Help please! Which of the following cannot be in the solution set of w/-2< 1?


-1
1
-2
2

thank u so much!

Answer 1

Simply plug each possible solution into the inequality to see which ones don't make it true

So plug in w = -1 to get

w/(-2) < 1

(-1)/(-2) < 1

1/2 < 1

0.5 < 1 ... which is TRUE, so w = -1 is indeed a solution. Since we want non-solutions, we cross out choice A

Answer 2

Now plug in w = 1

w/(-2) < 1

(1)/(-2) < 1

-1/2 < 1

-0.5 < 1 ... which is TRUE, so w = 1 is also a solution. Since we want non-solutions, we cross out choice B

Answer 3

i appreciate the explanations more than the anser... thank u very much :)

Answer 4

another way to do it is to isolate w to get

w/(-2) < 1

w > 1*(-2) ... we're multiplying both sides by a negative number, so the sign will flip

w > -2

Basically this means that any number larger than -2 is a solution. So any number less than -2 (or -2 itself) is a non-solution.

Answer 5

you're welcome

Answer 6

:)