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.
Solve the inequality\( (x + 2)(x - 3)\le 0 \) Give your answer in interval notation.
Hello QuestionMachine!
\( (x + 2)(x - 3)\le 0 \)
\(x\in \mathbb R|x<-2,x> 3\)
!
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