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Popular >

| z/5-1|<= 1

Solution

\frac{z}{5} - 1 \leq 1

Solution

0 \leq z \leq 10

+1

Interval Notation

[0, 10]

Solution steps

\frac{z}{5} - 1 \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq \frac{z}{5} - 1 \leq 1

\frac{z}{5} - 1 \geq - 1 and \frac{z}{5} - 1 \leq 1

z \geq 0 and z \leq 10

Merge Overlapping Intervals

0 \leq z \leq 10

Popular Examples

(5 x - 2) (- x + 3) = 0

2 x - 1 \leq x

∣ 3 x + 1 ∣ + 10 = 4

1.8(3/2)0.08341(x-700)=-2(15-7.5)

1.8 (\frac{3}{2}) 0.08341 (x - 700) = - 2 (15 - 7.5)

factor 2k^4+4k^3-70k^2 factor

2 k^{4} + 4 k^{3} - 70 k^{2}

Frequently Asked Questions (FAQ)

What is | z/5-1|<= 1 ?
The solution to | z/5-1|<= 1 is 0<= z<= 10