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Popular >

|3-5z|+6<14

Solution

∣ 3 - 5 z ∣ + 6 < 14

Solution

- 1 < z < \frac{11}{5}

+2

Interval Notation

(- 1, \frac{11}{5})

Decimal Notation

- 1 < z < 2.2

Solution steps

∣ 3 - 5 z ∣ + 6 < 14

Move

6

to the right side

∣ 3 - 5 z ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 3 - 5 z < 8

3 - 5 z > - 8 and 3 - 5 z < 8

z < \frac{11}{5} and z > - 1

Merge Overlapping Intervals

- 1 < z < \frac{11}{5}

Popular Examples

factor k^2-22k-23 factor

k^{2} - 22 k - 23

simplify 5i(2+3i)+4(6-2i)simplify

5 i (2 + 3 i) + 4 (6 - 2 i)

2 x^{2} = - 6 x - 4

- 6 (5 - x) < 30

simplify (2!8!)/(4!6!)simplify

\frac{2 ! 8 !}{4 ! 6 !}

Frequently Asked Questions (FAQ)

What is |3-5z|+6<14 ?
The solution to |3-5z|+6<14 is -1<z< 11/5