What is |3z-9|>|3z-4| ?

The solution to |3z-9|>|3z-4| is z< 13/6

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|3z-9|>|3z-4|

∣ 3 z - 9 ∣ > ∣ 3 z - 4 ∣

z < \frac{13}{6}

Interval Notation

(- \infty, \frac{13}{6})

Decimal Notation

z < 2.16666 \dots

Solution steps

∣ 3 z - 9 ∣ > ∣ 3 z - 4 ∣

Find positive and negative intervals

z < \frac{4}{3}, \frac{4}{3} \leq z < 3, z \geq 3

Solve the inequality for each interval

z < \frac{4}{3} or \frac{4}{3} \leq z < \frac{13}{6} or No Solution

Merge Overlapping Intervals

z < \frac{13}{6}

12 x^{4} y z^{2} - 8 x^{3} y^{3} z^{2}

\frac{9 !}{2 ! 2 !}

x + 8 = 4 x + 20

3.2 = \frac{4}{5} (b - 5)

(2 + 5 i) (4 - i)