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Popular >

|x-3|<4

Solution

∣ x - 3 ∣ < 4

Solution

- 1 < x < 7

+1

Interval Notation

(- 1, 7)

Solution steps

∣ x - 3 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < x - 3 < 4

x - 3 > - 4 and x - 3 < 4

x > - 1 and x < 7

Merge Overlapping Intervals

- 1 < x < 7

Popular Examples

7 - (- 3) + (4 + 3)

65/100*x+20/100*8= 85/100*8+x

\frac{65}{100} \cdot x + \frac{20}{100} \cdot 8 = \frac{85}{100} \cdot 8 + x

4 ∣ y + 4 ∣ - 8 = 0

factor 1+t^2+1/4 t^4 factor

1 + t^{2} + \frac{1}{4} t^{4}

simplify (300)/(1.1^{10)}simplify

\frac{300}{1. 1 ^{10}}

Frequently Asked Questions (FAQ)

What is |x-3|<4 ?
The solution to |x-3|<4 is -1<x<7