Solve the inequalities 

(i) −35<6x+7<1

Subtract -7 from all sides

-35 – 7 < 6x + 7 – 7 < 1 -7

-42 < 6x < -6

Dividing all sides by 6, we get

-7 < x < -1



(ii) 3x^{2} > 48

Dividing both sides by 3, we get

x^{2} > 16  \\ \\  \therefore x > \pm 4  \\ \\  x > 4\\  x < 4

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