6) three times a number increased by four is less than - 62

7) the quotient of a number and - 5 increased by one is at most 7

8) the quotient of a number and 3 minus two is at least - 12

9) the product of - 2 and a number minus six is greater than - 18

6) 3x + 4 < - 62 x = - 23 ⇒ 3 (-23) + 4 < - 62

- 4 - 4 - 69 + 4 < - 62

3x < - 66 - 65 < - 62

: 3 : 3

x < - 22

7) x/-5 + 1 < 7 x = - 30 ⇒ - 30/-5 + 1 < 7

- 1 - 1 6 + 1 < 7

x/-5 < 6 7 < 7

* - 5 * - 5

x < - 30

8) x/3 - 2 > - 12 x = - 30 ⇒ - 30/3 - 2 > - 12

x/3 > - 10 - 10 - 2 > - 12

* 3 * 3 - 12 > - 12

x > - 30

9) - 2x - 6 > - 18 x = 5 ⇒ - 2 (5) - 6 > - 18

+6 + 6 - 10 - 6 > - 18

-2x > - 12 - 16 > - 18

: - 2 : - 2

x > 6 ⇒ x < 6

*flip the inequality sign because the divisor is a negative number: This is to make the inequality true.