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Popular >

8|y-4|>= 82

Solution

8 ∣ y - 4 ∣ \geq 82

Solution

y \leq - \frac{25}{4} or y \geq \frac{57}{4}

+2

Interval Notation

(- \infty, - \frac{25}{4}] \cup [\frac{57}{4}, \infty)

Decimal Notation

y \leq - 6.25 or y \geq 14.25

Solution steps

8 ∣ y - 4 ∣ \geq 82

Divide both sides by

8

∣ y - 4 ∣ \geq \frac{41}{4}

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

y - 4 \leq - \frac{41}{4} or y - 4 \geq \frac{41}{4}

y - 4 \leq - \frac{41}{4} or y - 4 \geq \frac{41}{4}

y \leq - \frac{25}{4} or y \geq \frac{57}{4}

Popular Examples

3 x^{2} - 4 x - 1 = 0

-3(1-4x)+4(1-2x)=4x+1

- 3 (1 - 4 x) + 4 (1 - 2 x) = 4 x + 1

3 u + 5 \geq 11

simplify (5x)^{1/3}simplify

(5 x)^{\frac{1}{3}}

(3(x+5))/4+(-7(x+3))/(10)=4

\frac{3 ( x + 5 )}{4} + \frac{- 7 ( x + 3 )}{10} = 4

Frequently Asked Questions (FAQ)

What is 8|y-4|>= 82 ?
The solution to 8|y-4|>= 82 is y<=-25/4 \lor y>= 57/4