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Popular >

|3-x|< 2/3

Solution

∣ 3 - x ∣ < \frac{2}{3}

Solution

\frac{7}{3} < x < \frac{11}{3}

+2

Interval Notation

(\frac{7}{3}, \frac{11}{3})

Decimal Notation

2.33333 \dots < x < 3.66666 \dots

Solution steps

∣ 3 - x ∣ < \frac{2}{3}

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \frac{2}{3} < 3 - x < \frac{2}{3}

3 - x > - \frac{2}{3} and 3 - x < \frac{2}{3}

x < \frac{11}{3} and x > \frac{7}{3}

Merge Overlapping Intervals

\frac{7}{3} < x < \frac{11}{3}

Popular Examples

(x + 2) 2 - 3 = 1

simplify \sqrt[4]{144a^{12}b^3}simplify

4(x-3)+8=4(2x-6)

4 (x - 3) + 8 = 4 (2 x - 6)

factor 24x^3+60x^2+36x+90 factor

24 x^{3} + 60 x^{2} + 36 x + 90

0 = x^{2} + 3 x

Frequently Asked Questions (FAQ)

What is |3-x|< 2/3 ?
The solution to |3-x|< 2/3 is 7/3 <x< 11/3