What is -3(x+5)(x-9)>= 0 ?

The solution to -3(x+5)(x-9)>= 0 is -5<= x<= 9

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-3(x+5)(x-9)>= 0

- 3 (x + 5) (x - 9) \geq 0

- 5 \leq x \leq 9

Solution steps

- 3 (x + 5) (x - 9) \geq 0

Rewrite in standard form

- x^{2} + 4 x + 45 \geq 0

Factor

- x^{2} + 4 x + 45 : - (x + 5) (x - 9)

- (x + 5) (x - 9) \geq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 5) (x - 9)) (- 1) \leq 0 \cdot (- 1)

Simplify

(x + 5) (x - 9) \leq 0

Identify the intervals

- 5 \leq x \leq 9

i^{19}

\frac{a}{3} = a - 6

\frac{2}{3} (\frac{13}{5})

1 + 1

6 (x - 9) = 3 x + 2