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Popular >

|x-4|<= 10

Solution

∣ x - 4 ∣ \leq 10

Solution

- 6 \leq x \leq 14

+1

Interval Notation

[- 6, 14]

Solution steps

∣ x - 4 ∣ \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq x - 4 \leq 10

x - 4 \geq - 10 and x - 4 \leq 10

x \geq - 6 and x \leq 14

Merge Overlapping Intervals

- 6 \leq x \leq 14

Popular Examples

5 x + 10 > 14 x - 8

(3(4x-2))/6 =(11x)/2-(3(x+1))/5

\frac{3 ( 4 x - 2 )}{6} = \frac{11 x}{2} - \frac{3 ( x + 1 )}{5}

factor x^4-8x factor

x^{4} - 8 x

factor 4x^2+5x-6 factor

4 x^{2} + 5 x - 6

3 x + 15 = 3 (x + 5)

Frequently Asked Questions (FAQ)

What is |x-4|<= 10 ?
The solution to |x-4|<= 10 is -6<= x<= 14