Appendix related question.(Calculas I)

Question

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.
$  \frac{1}{x} < 4 $

davidap · Answer

$\frac{1}{x} < 4$

For this, let's see what values of x makes that inequality undefined

x = 0, ...., 1/4 make the condition undefined. So our solution set on real number line would be any value but not 0, 1/4, and numbers between them.

real line of 1/x < 4

So the answer would be $(-∞, 0) ∪ (\frac 14, ∞)$

Answers