40abs(15-(5/7)x)

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Solution for 40abs(15-(5/7)x) equation: 


x in (-oo:+oo)

40 < abs(15-((5/7)*x)) // - abs(15-((5/7)*x))

40-abs(15-((5/7)*x)) < 0

40-abs((-5/7)*x+15) < 0

40-abs((-5/7)*x+15) < 0

x in (-oo:+oo)

-abs((-5/7)*x+15)

(-5/7)*x+15 >= 0

15-5/7*x >= 0 // - 15

-5/7*x >= -15 // : -5/7

x <= -15/(-5/7)

x <= 21

x in (-oo:21>

40-((-5/7)*x)-15 < 0

x in (21:+oo)

(-5/7)*x+15+40 < 0

40-abs((-5/7)*x+15) < 0


/
| 40-((-5/7)*x)-15 < 0 i x in (-oo:21>
| (-5/7)*x+15+40 < 0 i x in (21:+oo)


x in (-oo:21>

40-((-5/7)*x)-15 < 0

5/7*x+25 < 0 // - 25

5/7*x < -25 // : 5/7

x < -25/5/7

x < -35

x in (21:+oo)

(-5/7)*x+15+40 < 0

55-5/7*x < 0 // - 55

-5/7*x < -55 // : -5/7

x > -55/(-5/7)

x > 77

x in (-oo:-35) U (77:+oo)

(-oo:-35) U (77:+oo)

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