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Popular >

|8x+3|+6<8

Solution

∣ 8 x + 3 ∣ + 6 < 8

Solution

- \frac{5}{8} < x < - \frac{1}{8}

+2

Interval Notation

(- \frac{5}{8}, - \frac{1}{8})

Decimal Notation

- 0.625 < x < - 0.125

Solution steps

∣ 8 x + 3 ∣ + 6 < 8

Move

6

to the right side

∣ 8 x + 3 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < 8 x + 3 < 2

8 x + 3 > - 2 and 8 x + 3 < 2

x > - \frac{5}{8} and x < - \frac{1}{8}

Merge Overlapping Intervals

- \frac{5}{8} < x < - \frac{1}{8}

Popular Examples

factor mn-15+3m-5n factor

mn - 15 + 3 m - 5 n

49 x^{2} = 16

∣ x + 8 ∣ \leq 3

(4x-7)(2x+3)-8x(x-4)=0

(4 x - 7) (2 x + 3) - 8 x (x - 4) = 0

x (1 + x) = \frac{3}{4}

Frequently Asked Questions (FAQ)

What is |8x+3|+6<8 ?
The solution to |8x+3|+6<8 is -5/8 <x<-1/8