igloo51
igloo51 igloo51
  • 18-09-2021
  • Mathematics
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What are the solutions to the inequality (x-3)(x+5) 50?

What are the solutions to the inequality x3x5 50 class=

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VirαtKσhli
VirαtKσhli VirαtKσhli
  • 18-09-2021

[tex]\Large\underline{\rm Solution :- }[/tex]

The given inequality to us is ,

[tex]\implies ( x -3)(x +5) \leq 0 [/tex]

So that ,

[tex]\implies x \leq 3[/tex]

[tex]\implies x \leq -5[/tex]

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 :-

[tex]\implies \underline{\boxed{ x | -5 \leq x \leq 3 }}[/tex]

In interval notation :-

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

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