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Popular >

5|x-3|+4>14

Solution

5 ∣ x - 3 ∣ + 4 > 14

Solution

x < 1 or x > 5

+1

Interval Notation

(- \infty, 1) \cup (5, \infty)

Solution steps

5 ∣ x - 3 ∣ + 4 > 14

Move

4

to the right side

5 ∣ x - 3 ∣ > 10

Divide both sides by

5

∣ x - 3 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 3 < - 2 or x - 3 > 2

x - 3 < - 2 or x - 3 > 2

x < 1 or x > 5

Popular Examples

simplify 5(9.8)(60)-25(9.8)e^{-60/5}simplify

5 (9.8) (60) - 25 (9.8) e^{- \frac{60}{5}}

-20-13m-17m=18-11m

- 20 - 13 m - 17 m = 18 - 11 m

simplify 3-3/2 simplify

3 - \frac{3}{2}

(x - 2)^{2} = x^{2}

1/2 r^2((75pi)/(36))=100

\frac{1}{2} r^{2} (\frac{75 π}{36}) = 100

Frequently Asked Questions (FAQ)

What is 5|x-3|+4>14 ?
The solution to 5|x-3|+4>14 is x<1\lor x>5