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Popular >

3|x-8|+9>= 12

Solution

3 ∣ x - 8 ∣ + 9 \geq 12

Solution

x \leq 7 or x \geq 9

+1

Interval Notation

(- \infty, 7] \cup [9, \infty)

Solution steps

3 ∣ x - 8 ∣ + 9 \geq 12

Move

9

to the right side

3 ∣ x - 8 ∣ \geq 3

Divide both sides by

3

∣ x - 8 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 8 \leq - 1 or x - 8 \geq 1

x - 8 \leq - 1 or x - 8 \geq 1

x \leq 7 or x \geq 9

Popular Examples

\frac{p}{7} < - 3

simplify (10)/(10-3)simplify

\frac{10}{10 - 3}

simplify (-2/3)^3 simplify

(- \frac{2}{3})^{3}

5 x^{2} = 6 x + 11

- 10 a + 4 = - 16

Frequently Asked Questions (FAQ)

What is 3|x-8|+9>= 12 ?
The solution to 3|x-8|+9>= 12 is x<= 7\lor x>= 9