What is 24-0.25(x-(-9))^2>11.75 ?

The solution to 24-0.25(x-(-9))^2>11.75 is -16<x<-2

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24-0.25(x-(-9))^2>11.75

24 - 0.25 (x - (- 9))^{2} > 11.75

- 16 < x < - 2

Solution steps

24 - 0.25 (x - (- 9))^{2} > 11.75

Multiply both sides by

100

2400 - 25 (x - (- 9))^{2} > 1175

Move

2400

to the right side

- 25 (x - (- 9))^{2} > - 1225

Multiply both sides by

- 1

25 (x - (- 9))^{2} < 1225

Divide both sides by

25

(x - (- 9))^{2} < 49

For

u^{n} < a

, if

n

is even then

- 49 < x - (- 9) < 49

a < u < b

then

a < u and u < b

- 49 < x - (- 9) and x - (- 9) < 49

- 49 < x - (- 9) : x > - 16

x - (- 9) < 49 : x < - 2

Combine the intervals

x > - 16 and x < - 2

Merge Overlapping Intervals

- 16 < x < - 2

(25 x^{- 6} y^{2})^{\frac{1}{2}}

\frac{( 1 + 3 i )}{( 1 + i )}

\frac{9}{4} \cdot 2

\frac{36}{121}

18 x^{3} + 29 x^{2} + 3 x

What is 24-0.25(x-(-9))^2>11.75 ?
The solution to 24-0.25(x-(-9))^2>11.75 is -16<x<-2