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Popular >

0<| 5/(x-1)|<3

Solution

0 < \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

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

If

a < u < b

then

a < u and u < b

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

0 < \frac{5}{x - 1} : x < 1 or x > 1

\frac{5}{x - 1} < 3 : x < - \frac{2}{3} or x > \frac{8}{3}

Combine the intervals

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

Merge Overlapping Intervals

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

Popular Examples

0.080652x^2+419.868x-240590=0

0.080652 x^{2} + 419.868 x - 240590 = 0

∣ x + 5 ∣ > 12

simplify (11!)/(6!5!)simplify

\frac{11 !}{6 ! 5 !}

factor 6a^2bc+4ab^2c factor

6 a^{2} b c + 4 a b^{2} c

x^2+(3x+3)^2=(3x+4)^2

x^{2} + (3 x + 3)^{2} = (3 x + 4)^{2}

Frequently Asked Questions (FAQ)

What is 0<| 5/(x-1)|<3 ?
The solution to 0<| 5/(x-1)|<3 is x<-2/3 \lor x> 8/3