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Popular >

|(3x+1)/4 |>= 1

Solution

\frac{3 x + 1}{4} \geq 1

Solution

x \leq - \frac{5}{3} or x \geq 1

+2

Interval Notation

(- \infty, - \frac{5}{3}] \cup [1, \infty)

Decimal Notation

x \leq - 1.66666 \dots or x \geq 1

Solution steps

\frac{3 x + 1}{4} \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

\frac{3 x + 1}{4} \leq - 1 or \frac{3 x + 1}{4} \geq 1

\frac{3 x + 1}{4} \leq - 1 or \frac{3 x + 1}{4} \geq 1

x \leq - \frac{5}{3} or x \geq 1

Popular Examples

simplify-sqrt(-25)simplify

- - 25

5 (y - 2) - 7 y > - 32

factor x^2-16k^2 factor

x^{2} - 16 k^{2}

simplify-1/2+2/2 simplify

- \frac{1}{2} + \frac{2}{2}

simplify 2/(sqrt(10))simplify

\frac{2}{10}

Frequently Asked Questions (FAQ)

What is |(3x+1)/4 |>= 1 ?
The solution to |(3x+1)/4 |>= 1 is x<=-5/3 \lor x>= 1