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Popular >

3|x-5|+12>= 15

Solution

3 ∣ x - 5 ∣ + 12 \geq 15

Solution

x \leq 4 or x \geq 6

+1

Interval Notation

(- \infty, 4] \cup [6, \infty)

Solution steps

3 ∣ x - 5 ∣ + 12 \geq 15

Move

12

to the right side

3 ∣ x - 5 ∣ \geq 3

Divide both sides by

3

∣ x - 5 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 5 \leq - 1 or x - 5 \geq 1

x - 5 \leq - 1 or x - 5 \geq 1

x \leq 4 or x \geq 6

Popular Examples

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- 126 = 14 k

y^{2} - 20 < - 4

simplify (9!)/((9-3)!)simplify

\frac{9 !}{( 9 - 3 ) !}

7 x - 3 \leq 18

Frequently Asked Questions (FAQ)

What is 3|x-5|+12>= 15 ?
The solution to 3|x-5|+12>= 15 is x<= 4\lor x>= 6