Question

4 - 1/(8w) < 16if y'all could answer this with work that would be great thank you :D

Answer 1

Consider the given inequality,

`4-(1)/(8w)<16`

Add -4 on both sides,

`4-(1)/(8w)-4<16-4\Rightarrow(-1)/(8w)<12`

Multiply both sides by -8, (the inequality sign will get changed),

`(1)/(w)>-96`

Take reciprocals of both the sides,

`w<-(1)/(96)`

Thus, the solution region contains all the points strictly less than negative 1/96.

The corresponding number line representation is given below,