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)

Dividing both sides by 3, we get

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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)

Dividing both sides by 3, we get

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