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Popular >

|3-x|<4

Solution

∣ 3 - x ∣ < 4

Solution

- 1 < x < 7

+1

Interval Notation

(- 1, 7)

Solution steps

∣ 3 - x ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < 3 - x < 4

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

x < 7 and x > - 1

Merge Overlapping Intervals

- 1 < x < 7

Popular Examples

∣ 7 x + 1 ∣ < 9

factor (x+y)^3-(2+3y)^3 factor

(x + y)^{3} - (2 + 3 y)^{3}

2x^2-10/3 x+4/3 =0

2 x^{2} - \frac{10}{3} x + \frac{4}{3} = 0

factor 3x^2-11x+10 factor

3 x^{2} - 11 x + 10

simplify (\sqrt[3]{5})/(\sqrt[3]{4)}simplify

Frequently Asked Questions (FAQ)

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