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Popular >

|4y-1|>= 10

Solution

∣ 4 y - 1 ∣ \geq 10

Solution

y \leq - \frac{9}{4} or y \geq \frac{11}{4}

+2

Interval Notation

(- \infty, - \frac{9}{4}] \cup [\frac{11}{4}, \infty)

Decimal Notation

y \leq - 2.25 or y \geq 2.75

Solution steps

∣ 4 y - 1 ∣ \geq 10

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 y - 1 \leq - 10 or 4 y - 1 \geq 10

4 y - 1 \leq - 10 or 4 y - 1 \geq 10

y \leq - \frac{9}{4} or y \geq \frac{11}{4}

Popular Examples

factor w^2-9wx factor

w^{2} - 9 w x

factor 81r+48rs factor

81 r + 48 rs

-10(c+3)+4c>= 90

- 10 (c + 3) + 4 c \geq 90

simplify (-8m^2+8m-2)/(32m^2-4m-6)simplify

\frac{- 8 m ^{2} + 8 m - 2}{32 m ^{2} - 4 m - 6}

4 + 3 ∣ 4 - x ∣ \leq 25

Frequently Asked Questions (FAQ)

What is |4y-1|>= 10 ?
The solution to |4y-1|>= 10 is y<=-9/4 \lor y>= 11/4