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Popular >

|4y-1|>= 8

Solution

∣ 4 y - 1 ∣ \geq 8

Solution

y \leq - \frac{7}{4} or y \geq \frac{9}{4}

+2

Interval Notation

(- \infty, - \frac{7}{4}] \cup [\frac{9}{4}, \infty)

Decimal Notation

y \leq - 1.75 or y \geq 2.25

Solution steps

∣ 4 y - 1 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 y - 1 \leq - 8 or 4 y - 1 \geq 8

4 y - 1 \leq - 8 or 4 y - 1 \geq 8

y \leq - \frac{7}{4} or y \geq \frac{9}{4}

Popular Examples

u^{2} - 23 u + 22 = 0

factor 5x^3+10x^2-20x-40 factor

5 x^{3} + 10 x^{2} - 20 x - 40

simplify (3/4)^{-3}simplify

(\frac{3}{4})^{- 3}

simplify 6/10*5/9 simplify

\frac{6}{10} \cdot \frac{5}{9}

simplify 5b^2*8b simplify

5 b^{2} \cdot 8 b

Frequently Asked Questions (FAQ)

What is |4y-1|>= 8 ?
The solution to |4y-1|>= 8 is y<=-7/4 \lor y>= 9/4