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Popular >

|3x-1|<= 4

Solution

∣ 3 x - 1 ∣ \leq 4

Solution

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

+2

Interval Notation

[- 1, \frac{5}{3}]

Decimal Notation

- 1 \leq x \leq 1.66666 \dots

Solution steps

∣ 3 x - 1 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq 3 x - 1 \leq 4

3 x - 1 \geq - 4 and 3 x - 1 \leq 4

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

Merge Overlapping Intervals

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

Popular Examples

factor 9a^6b^3+27a^5b^3-36ac^3 factor

9 a^{6} b^{3} + 27 a^{5} b^{3} - 36 a c^{3}

5/2 x+5/6 x= 4/3

\frac{5}{2} x + \frac{5}{6} x = \frac{4}{3}

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

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

3 (2 x + 7) > - 15

factor x^2+8x-20 factor

x^{2} + 8 x - 20

Frequently Asked Questions (FAQ)

What is |3x-1|<= 4 ?
The solution to |3x-1|<= 4 is -1<= x<= 5/3