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Popular >

|x-4|<= 3

Solution

∣ x - 4 ∣ \leq 3

Solution

1 \leq x \leq 7

+1

Interval Notation

[1, 7]

Solution steps

∣ x - 4 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x - 4 \leq 3

x - 4 \geq - 3 and x - 4 \leq 3

x \geq 1 and x \leq 7

Merge Overlapping Intervals

1 \leq x \leq 7

Popular Examples

x^{2} - 4 x - 13 = 0

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25 x^{2} + 30 x + 10

factor 2x^2+6x factor

2 x^{2} + 6 x

7 z^{2} - 8 z - 21 = 0

factor int(xsqrt(9-x^2))dx factor

in t (x 9 - x^{2}) d x

Frequently Asked Questions (FAQ)

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