Question

What are the solutions to the inequality (x-3)(x+5) 50?

Answer 1

$\Large\underline{\rm Solution :- }$

The given inequality to us is ,

$\implies ( x -3)(x +5) \leq 0$

So that ,

$\implies x \leq 3$

$\implies x \leq -5$

This implies x can have a value of greater than or equal to -5 to less than or equal to 3 . Hence ,

In Set builder Notation :-

$\implies \underline{\boxed{ x | -5 \leq x \leq 3 }}$

In interval notation :-

$\implies \underline{\boxed{ x \in [ -5,3] }}$