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Popular >

5|x-4|>10

Solution

5 ∣ x - 4 ∣ > 10

Solution

x < 2 or x > 6

+1

Interval Notation

(- \infty, 2) \cup (6, \infty)

Solution steps

5 ∣ x - 4 ∣ > 10

Divide both sides by

5

∣ x - 4 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 4 < - 2 or x - 4 > 2

x - 4 < - 2 or x - 4 > 2

x < 2 or x > 6

Popular Examples

-(x-4)<18+3(2x+2)

- (x - 4) < 18 + 3 (2 x + 2)

simplify 3/(-4)simplify

\frac{3}{- 4}

simplify 61^2 simplify

6 1^{2}

factor 4c^2+4c+1 factor

4 c^{2} + 4 c + 1

4(1.1z+2.75)>-6.6

4 (1.1 z + 2.75) > - 6.6

Frequently Asked Questions (FAQ)

What is 5|x-4|>10 ?
The solution to 5|x-4|>10 is x<2\lor x>6