What is (2x+10)(x+3)<(3x+9)(x+8) ?

The solution to (2x+10)(x+3) -3

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(2x+10)(x+3)<(3x+9)(x+8)

(2 x + 10) (x + 3) < (3 x + 9) (x + 8)

x < - 14 or x > - 3

Interval Notation

(- \infty, - 14) \cup (- 3, \infty)

Solution steps

(2 x + 10) (x + 3) < (3 x + 9) (x + 8)

Rewrite in standard form

- x^{2} - 17 x - 42 < 0

Factor

- x^{2} - 17 x - 42 : - (x + 3) (x + 14)

- (x + 3) (x + 14) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 3) (x + 14)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 3) (x + 14) > 0

Identify the intervals

x < - 14 or x > - 3

\frac{a}{9} = - 4

\frac{1}{2} + \frac{3}{10}

- (\frac{3}{2})^{2}

25 v^{2} - 64

7 x^{2} + 10 x - 8

What is (2x+10)(x+3)<(3x+9)(x+8) ?
The solution to (2x+10)(x+3)<(3x+9)(x+8) is x<-14\lor x>-3