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,

$4-\frac{1}{8w}<16$

Add -4 on both sides,

$4-\frac{1}{8w}-4<16-4\Rightarrow\frac{-1}{8w}<12$

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

$\frac{1}{w}>-96$

Take reciprocals of both the sides,

$w<-\frac{1}{96}$

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

The corresponding number line representation is given below,