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and

When,

Subtracting 3 from both the sides

Signs of 1 – 3x:

1 – 3x = 0 →

(Subtract 1 from both the sides and then divide both sides by -3)

1 – 3x > 0 →

(Subtract 1 from both the sides, then multiply by -1 on both sides and then divide both sides by 3)

1 – 3x < 0 →

(Subtract 1 from both the sides, then multiply by -1 on both sides and then divide both sides by 3)

Interval satisfying the required condition ≤ 0 , x > 0

or

Or

Now when,

Subtracting 3 from both the sides

Dividing both sides by 3

Multiplying by -1 on both sides

Signs of x - 1:

x – 1 = 0 → x = 1 (Adding 1 to both the sides)

x – 1 > 0 → x > 1 (Adding 1 to both the sides)

x – 1 < 0 → x < 1 (Adding 1 to both the sides)

Interval satisfying the required condition: ≤ 0

x ≤ 1

Combining the intervals:

such that x > 0