The diagram below shows the graph of the function y=(x+2)(x−3).
Solve the inequality (x+2)(x−3)≤0. Give your answer in interval notation.
Solve the inequality(x+2)(x−3)≤0 Give your answer in interval notation.
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(x+2)(x−3)≤0
x∈R|x<−2,x>3
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The roots of this graph are at -2 and 3
This graph is ≤ 0 between these values
So
-2 ≤ x ≤ 3 is the solution