a. |3x-1|<8
⇒ 3x < 8 + 1
⇒ 3x < 9
⇒ x<3
b. |9-2x|>11
⇒ -2x > 11-9
⇒ -2x > 2
⇒ x>-1
c. -6 ≤ -3|3-5x| ≤ 9
⇔ -6 ≤ -9 + 15x ≤ 9
⇔ -6+9 ≤ -9 +15x + 9 ≤ 9 + 9
⇔ 3 ≤ 15x ≤ 18
⇔ 1 ≤ 5x ≤ 6
⇔ 1/5 ≤ x ≤ 6/5
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a. |3x-1|<8
⇒ 3x < 8 + 1
⇒ 3x < 9
⇒ x<3
b. |9-2x|>11
⇒ -2x > 11-9
⇒ -2x > 2
⇒ x>-1
c. -6 ≤ -3|3-5x| ≤ 9
⇔ -6 ≤ -9 + 15x ≤ 9
⇔ -6+9 ≤ -9 +15x + 9 ≤ 9 + 9
⇔ 3 ≤ 15x ≤ 18
⇔ 1 ≤ 5x ≤ 6
⇔ 1/5 ≤ x ≤ 6/5