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The diagram below shows the graph of the function \(y = (x + 2)(x - 3).\)

Solve the inequality \((x + 2)(x - 3) \le 0.\) Give your answer in interval notation.

 Feb 13, 2021
 #1
avatar+11086 
+1

Solve the inequality\( (x + 2)(x - 3)\le 0 \) Give your answer in interval notation.

 

Hello QuestionMachine!

 

\( (x + 2)(x - 3)\le 0 \)

\(x\in \mathbb R|x<-2,x> 3\)

laugh  !

 Feb 13, 2021
 #2
avatar+116125 
+2

See here  : https://www.desmos.com/calculator/5parnxzdni

 

The roots  of  this graph   are  at  -2  and  3

 

This  graph is   ≤ 0    between  these  values

 

So

 

-2 ≤ x ≤ 3  is  the solution

 

 

cool cool cool

 Feb 13, 2021

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