What is (-3x+1)(-3x+4)>-2x+26 ?

The solution to (-3x+1)(-3x+4)>-2x+26 is x 22/9

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(-3x+1)(-3x+4)>-2x+26

(- 3 x + 1) (- 3 x + 4) > - 2 x + 26

x < - 1 or x > \frac{22}{9}

Interval Notation

(- \infty, - 1) \cup (\frac{22}{9}, \infty)

Decimal Notation

x < - 1 or x > 2.44444 \dots

Solution steps

(- 3 x + 1) (- 3 x + 4) > - 2 x + 26

Rewrite in standard form

9 x^{2} - 13 x - 22 > 0

Factor

9 x^{2} - 13 x - 22 : (x + 1) (9 x - 22)

(x + 1) (9 x - 22) > 0

Identify the intervals

x < - 1 or x > \frac{22}{9}

m^{2} < 16

2^{1} - x^{2} < 8

3 x (x - 2) < 0

\frac{( ( x - 1 ) ( x + 2 ) )}{( x - 3 )} > 0

2 x^{2} \geq (x + 1)^{2}

What is (-3x+1)(-3x+4)>-2x+26 ?
The solution to (-3x+1)(-3x+4)>-2x+26 is x<-1\lor x> 22/9