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Popular >

3|x-5|+3>12

Solution

3 ∣ x - 5 ∣ + 3 > 12

Solution

x < 2 or x > 8

+1

Interval Notation

(- \infty, 2) \cup (8, \infty)

Solution steps

3 ∣ x - 5 ∣ + 3 > 12

Move

3

to the right side

3 ∣ x - 5 ∣ > 9

Divide both sides by

3

∣ x - 5 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 5 < - 3 or x - 5 > 3

x - 5 < - 3 or x - 5 > 3

x < 2 or x > 8

Popular Examples

\frac{5 x}{7} = 22

factor (-7m^2)/(2m+1)-(11)/(16m-8)factor

\frac{- 7 m ^{2}}{2 m + 1} - \frac{11}{16 m - 8}

14-5x-8-x=3+15-12x-6x

14 - 5 x - 8 - x = 3 + 15 - 12 x - 6 x

simplify (-2 5/8)^2 simplify

(- 2 \frac{5}{8})^{2}

(x + 2)^{2} (x - 6) < 0

Frequently Asked Questions (FAQ)

What is 3|x-5|+3>12 ?
The solution to 3|x-5|+3>12 is x<2\lor x>8