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Popular >

| 5/(x-1)|<3

Solution

\frac{5}{x - 1} < 3

Solution

x < - \frac{2}{3} or x > \frac{8}{3}

+2

Interval Notation

(- \infty, - \frac{2}{3}) \cup (\frac{8}{3}, \infty)

Decimal Notation

x < - 0.66666 \dots or x > 2.66666 \dots

Solution steps

\frac{5}{x - 1} < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < \frac{5}{x - 1} < 3

\frac{5}{x - 1} > - 3 and \frac{5}{x - 1} < 3

(x < - \frac{2}{3} or x > 1) and (x < 1 or x > \frac{8}{3})

Merge Overlapping Intervals

x < - \frac{2}{3} or x > \frac{8}{3}

Popular Examples

25 - 6 k = - 6 (k - 3)

simplify (-8)^{-2/3}simplify

(- 8)^{- \frac{2}{3}}

(8x+7)/6 =(5x+2)/7

\frac{8 x + 7}{6} = \frac{5 x + 2}{7}

longadd 15+40+65+100+125 long addition

15 + 40 + 65 + 100 + 125

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

\frac{8 !}{( 2 ! \cdot 6 ! )}

Frequently Asked Questions (FAQ)

What is | 5/(x-1)|<3 ?
The solution to | 5/(x-1)|<3 is x<-2/3 \lor x> 8/3