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What is the solution to (X - 5)(2x + 1)(x - 7) > 0?  Please show all steps!

Aug 30, 2020

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What is the solution to (x - 5)(2x + 1)(x - 7) > 0? Please show all steps!

Hello Guest!

$$f(x)=(x - 5)(2x + 1)(x - 7) > 0$$

$$\large \{$$ $$if\ (x - 5)(2x + 1)(x - 7) = 0$$  $$then$$  $$x\in\{-0.5;\ 5;\ 7\}$$  $$\large \}$$

$$if\ f(x)>0$$  $$then$$   $$x\in\mathbb{R}$$  |-0.5 < x < 5 and x > 7

!

Aug 30, 2020
edited by asinus  Aug 30, 2020
edited by asinus  Aug 30, 2020
edited by asinus  Aug 30, 2020
edited by asinus  Aug 30, 2020
edited by asinus  Aug 30, 2020