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Popular >

|8x-8|-5<2

Solution

∣ 8 x - 8 ∣ - 5 < 2

Solution

\frac{1}{8} < x < \frac{15}{8}

+2

Interval Notation

(\frac{1}{8}, \frac{15}{8})

Decimal Notation

0.125 < x < 1.875

Solution steps

∣ 8 x - 8 ∣ - 5 < 2

Move

5

to the right side

∣ 8 x - 8 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 8 x - 8 < 7

8 x - 8 > - 7 and 8 x - 8 < 7

x > \frac{1}{8} and x < \frac{15}{8}

Merge Overlapping Intervals

\frac{1}{8} < x < \frac{15}{8}

Popular Examples

factor 2y^2-4y-6 factor

2 y^{2} - 4 y - 6

simplify (9-7i)^2 simplify

(9 - 7 i)^{2}

y^{2} - 4 y - 12 = 0

1 - b \leq - 1

∣ x - 8 ∣ < 7

Frequently Asked Questions (FAQ)

What is |8x-8|-5<2 ?
The solution to |8x-8|-5<2 is 1/8 <x< 15/8