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Popular >

|x-4|>= 11

Solution

∣ x - 4 ∣ \geq 11

Solution

x \leq - 7 or x \geq 15

+1

Interval Notation

(- \infty, - 7] \cup [15, \infty)

Solution steps

∣ x - 4 ∣ \geq 11

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 4 \leq - 11 or x - 4 \geq 11

x - 4 \leq - 11 or x - 4 \geq 11

x \leq - 7 or x \geq 15

Popular Examples

- 1 < \frac{3 - 7 X}{4} < 6

simplify-4*4/3 simplify

- 4 \cdot \frac{4}{3}

(2(4-1)^3)/(24(10)^2)

\frac{2 ( 4 - 1 ) ^{3}}{24 ( 10 ) ^{2}}

factor 12x^3y^5+16x^2y^3 factor

12 x^{3} y^{5} + 16 x^{2} y^{3}

factor 6x^2-x factor

6 x^{2} - x

Frequently Asked Questions (FAQ)

What is |x-4|>= 11 ?
The solution to |x-4|>= 11 is x<=-7\lor x>= 15