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Popular >

7<|x-3|<11

Solution

7 < ∣ x - 3 ∣ < 11

Solution

- 8 < x < - 4 or 10 < x < 14

+1

Interval Notation

(- 8, - 4) \cup (10, 14)

Solution steps

7 < ∣ x - 3 ∣ < 11

If

a < u < b

then

a < u and u < b

7 < ∣ x - 3 ∣ and ∣ x - 3 ∣ < 11

7 < ∣ x - 3 ∣ : x < - 4 or x > 10

∣ x - 3 ∣ < 11 : - 8 < x < 14

Combine the intervals

(x < - 4 or x > 10) and - 8 < x < 14

Merge Overlapping Intervals

- 8 < x < - 4 or 10 < x < 14

Popular Examples

- 2 x < - 8

factor u^2+u-12 factor

u^{2} + u - 12

simplify 486(1/3)^8 simplify

486 (\frac{1}{3})^{8}

factor 27s^3-125t^3 factor

27 s^{3} - 125 t^{3}

((x+3)(x-13))/((x-4)(x+7))<= 0

\frac{( x + 3 ) ( x - 13 )}{( x - 4 ) ( x + 7 )} \leq 0

Frequently Asked Questions (FAQ)

What is 7<|x-3|<11 ?
The solution to 7<|x-3|<11 is -8<x<-4\lor 10<x<14