What is the answer to |6z-1|-5=-1 ?

The answer to |6z-1|-5=-1 is z=-1/2 \lor z= 5/6

Solve for z: |6z-1|-5=-1

The solution is z=-1/2 \lor z= 5/6

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∣ 6 z - 1 ∣ - 5 = - 1

z = - \frac{1}{2} or z = \frac{5}{6}

Solution steps

∣ 6 z - 1 ∣ - 5 = - 1

Move

5

to the right side

∣ 6 z - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 z - 1 = - 4 or 6 z - 1 = 4

6 z - 1 = - 4 or 6 z - 1 = 4

z = - \frac{1}{2} or z = \frac{5}{6}

98 + 52

∣ 2 - 3 x ∣ + 5 < 10

5 x^{2} + 30 x = 0

- 5 = \frac{x}{3} - 8

3 + 3 x - 5 = 10

What is the answer to |6z-1|-5=-1 ?
The answer to |6z-1|-5=-1 is z=-1/2 \lor z= 5/6
Solve for z: |6z-1|-5=-1
The solution is z=-1/2 \lor z= 5/6