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Popular >

|3x-1|+3>= 9

Solution

∣ 3 x - 1 ∣ + 3 \geq 9

Solution

x \leq - \frac{5}{3} or x \geq \frac{7}{3}

+2

Interval Notation

(- \infty, - \frac{5}{3}] \cup [\frac{7}{3}, \infty)

Decimal Notation

x \leq - 1.66666 \dots or x \geq 2.33333 \dots

Solution steps

∣ 3 x - 1 ∣ + 3 \geq 9

Move

3

to the right side

∣ 3 x - 1 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 1 \leq - 6 or 3 x - 1 \geq 6

3 x - 1 \leq - 6 or 3 x - 1 \geq 6

x \leq - \frac{5}{3} or x \geq \frac{7}{3}

Popular Examples

simplify (pi/2)/(1/2)simplify

\frac{\frac{π}{2}}{\frac{1}{2}}

- 9 n + 1 > 91

x^{2} - 78 = 0

- \frac{4}{7} y \leq 8

3/5 ((x-1)/3+1)+x= 3/4 ((x-2)/3)

\frac{3}{5} (\frac{x - 1}{3} + 1) + x = \frac{3}{4} (\frac{x - 2}{3})

Frequently Asked Questions (FAQ)

What is |3x-1|+3>= 9 ?
The solution to |3x-1|+3>= 9 is x<=-5/3 \lor x>= 7/3