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nikklg [1K]
4 years ago
11

Solve: x +9 x2 – 5x + 6 <0

Mathematics
1 answer:
worty [1.4K]4 years ago
7 0

Answer:

(-∞,-9) U (2,3)

Step-by-step explanation:

(x+9)(x²-5x+6) < 0

x²-5x +6

= x² -3x -2x +6

= x( x-3) -2(x-3)

= (x-3)(x-2)

Substituting

(x+9)(x-2)(x-3)

For x < -9

the term is negative

For x >-9 x<2

the term is positive

For x>2 x<3

the term is negative

For x>3

the term is positive

(x+9)(x-2)(x-3) < 0

(-∞,-9) U (2,3)

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