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Popular >

6+|4-x/4 |>= 12

Solution

6 + 4 - \frac{x}{4} \geq 12

Solution

x \leq - 8 or x \geq 40

+1

Interval Notation

(- \infty, - 8] \cup [40, \infty)

Solution steps

6 + 4 - \frac{x}{4} \geq 12

Move

6

to the right side

4 - \frac{x}{4} \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 - \frac{x}{4} \leq - 6 or 4 - \frac{x}{4} \geq 6

4 - \frac{x}{4} \leq - 6 or 4 - \frac{x}{4} \geq 6

x \leq - 8 or x \geq 40

Popular Examples

simplify 5%2 simplify

5%2

factor 125+27x^3 factor

125 + 27 x^{3}

3/4 (8-4c)-9>= 3/8 (16c-24)+10

\frac{3}{4} (8 - 4 c) - 9 \geq \frac{3}{8} (16 c - 24) + 10

3 x^{2} + 2 = 50

simplify-8(5b)simplify

- 8 (5 b)

Frequently Asked Questions (FAQ)

What is 6+|4-x/4 |>= 12 ?
The solution to 6+|4-x/4 |>= 12 is x<=-8\lor x>= 40