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Popular >

x|x-4|<3

Solution

x ∣ x - 4 ∣ < 3

Solution

x < 0

+1

Interval Notation

(- \infty, 0)

Solution steps

x ∣ x - 4 ∣ < 3

Move

3

to the left side

x ∣ x - 4 ∣ - 3 < 0

∣ x - 4 ∣ \geq 0

If

ab < 0 and a \geq 0

then

b < 0 and a > 0

x < 0 and ∣ x - 4 ∣ > 0

∣ x - 4 ∣ > 0 : x < 4 or x > 4

Combine the intervals

x < 0 and (x < 4 or x > 4)

Merge Overlapping Intervals

x < 0

Popular Examples

simplify 1/(3/2)simplify

\frac{1}{\frac{3}{2}}

simplify (8!)/(0!8!)simplify

\frac{8 !}{0 ! 8 !}

factor 10a^2+7a-12 factor

10 a^{2} + 7 a - 12

11 (2 x - 1) + 3 x = 13

6 x + 3 = 15

Frequently Asked Questions (FAQ)

What is x|x-4|<3 ?
The solution to x|x-4|<3 is x<0