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Popular >

|(3-2x)/5 |-3<6

Solution

\frac{3 - 2 x}{5} - 3 < 6

Solution

- 21 < x < 24

+1

Interval Notation

(- 21, 24)

Solution steps

\frac{3 - 2 x}{5} - 3 < 6

Move

3

to the right side

\frac{3 - 2 x}{5} < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < \frac{3 - 2 x}{5} < 9

\frac{3 - 2 x}{5} > - 9 and \frac{3 - 2 x}{5} < 9

x < 24 and x > - 21

Merge Overlapping Intervals

- 21 < x < 24

Graph

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\frac{- 4 + i}{i}

h (7) = 6 (7) - 7

3 - 2 x = 4 (x + 15)

Frequently Asked Questions (FAQ)

What is |(3-2x)/5 |-3<6 ?
The solution to |(3-2x)/5 |-3<6 is -21<x<24