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Popular >

(6x-9)(2x-3)>27

Solution

(6 x - 9) (2 x - 3) > 27

Solution

x < 0 or x > 3

+1

Interval Notation

(- \infty, 0) \cup (3, \infty)

Solution steps

(6 x - 9) (2 x - 3) > 27

Factor

(6 x - 9) (2 x - 3) : 3 (2 x - 3)^{2}

3 (2 x - 3)^{2} > 27

Divide both sides by

3

(2 x - 3)^{2} > 9

For

u^{n} > a

, if

n

is even then

2 x - 3 < - 9 or 2 x - 3 > 9

2 x - 3 < - 9 : x < 0

2 x - 3 > 9 : x > 3

Combine the intervals

x < 0 or x > 3

Popular Examples

∣ 3 x + 3 ∣ + 1 = 10

- 3 y = - 12

simplify pi/2-(2pi)/3 simplify

\frac{π}{2} - \frac{2 π}{3}

(2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10

\frac{2 ( x - 1 )}{3} - \frac{3 ( x - 2 )}{4} = \frac{4 ( x - 3 )}{5} - \frac{3}{10}

simplify (9/x)^2 simplify

(\frac{9}{x})^{2}

Frequently Asked Questions (FAQ)

What is (6x-9)(2x-3)>27 ?
The solution to (6x-9)(2x-3)>27 is x<0\lor x>3