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Popular >

|x-5|>4

Solution

∣ x - 5 ∣ > 4

Solution

x < 1 or x > 9

+1

Interval Notation

(- \infty, 1) \cup (9, \infty)

Solution steps

∣ x - 5 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 5 < - 4 or x - 5 > 4

x - 5 < - 4 or x - 5 > 4

x < 1 or x > 9

Popular Examples

factor-y^2-12y-20 factor

- y^{2} - 12 y - 20

- x^{2} - 4 x + 36 = 0

simplify 2x*x^{1/2}simplify

2 x \cdot x^{\frac{1}{2}}

simplify 1/9+1/8 simplify

\frac{1}{9} + \frac{1}{8}

(x+1)^2<= 5x^2+x+1

(x + 1)^{2} \leq 5 x^{2} + x + 1

Frequently Asked Questions (FAQ)

What is |x-5|>4 ?
The solution to |x-5|>4 is x<1\lor x>9