Answer:
-3>_ x >_ -2
Step-by-step explanation:
x(x+5)>_ -6
Open the bracket
x² + 5x >_ -6
x² +5x + 6 >_ 0
Solve quadratically using factorisation method
Factors of 6 that sum up to +5. ( 2 and 3)
x² + 2x + 3x + 6 >_ 0
Factorise
x(x + 2) +3(x + 2) >_ 0
(x+2)(x+3) >_ 0
Therefore
x + 2 >_ 0 or x +3 >_ 0
x>_ -2 or x >_ -3
-3>_ x >_ -2
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