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Popular >

|(3(x-1))/4 |<6

Solution

\frac{3 ( x - 1 )}{4} < 6

Solution

- 7 < x < 9

+1

Interval Notation

(- 7, 9)

Solution steps

\frac{3 ( x - 1 )}{4} < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < \frac{3 ( x - 1 )}{4} < 6

\frac{3 ( x - 1 )}{4} > - 6 and \frac{3 ( x - 1 )}{4} < 6

x > - 7 and x < 9

Merge Overlapping Intervals

- 7 < x < 9

Popular Examples

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(x+2)/2+4=(x+5)/7

\frac{x + 2}{2} + 4 = \frac{x + 5}{7}

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simplify (5!)/((5-5)!)simplify

\frac{5 !}{( 5 - 5 ) !}

-7-5x+8x=-9x-2+6

- 7 - 5 x + 8 x = - 9 x - 2 + 6

Frequently Asked Questions (FAQ)

What is |(3(x-1))/4 |<6 ?
The solution to |(3(x-1))/4 |<6 is -7<x<9