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The Brainliest Answer!
2015-10-15T16:41:43+05:30
1. 6/(x*3) < 5
⇒ 6 < 5(x-3)
⇒ 6 < 5x - 15
⇒ 6 + 15 < 5x
⇒ 21 <5x
⇒ 5x > 21
⇒ x > 21/5


2. 6x² + 7x - 3 > 0
⇒x² + 7x/6 - 3/6 > 0
⇒ x² + 7x/6 > 3/6
⇒ x² + 7x/6 + (7/12)² > 3/6+(7/12)²
⇒ (x+7/12)² > 3/6 + 49/144
⇒ (x+7/12)² > (72+49)/144
⇒ (x+7/12)² > 121/144
⇒ (x+7/12)² > (11/12)²

So x + 7/12 > + 11/12 and x + 7/12 < - 11/12
⇒ x > 11/12 - 7/12 and x < -7/12 - 11/12
⇒ x > 4/12 and x < -18/12
⇒ x > 1/3 and x < -3/2

So x>1/3 and x<-3/2
2 5 2
Thank you!!!
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I will be very grateful, It's last remaining question in my assignment