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Popular >

x+5/3 <= 2x+1/3 <= 3x+4/3

Solution

x + \frac{5}{3} \leq 2 x + \frac{1}{3} \leq 3 x + \frac{4}{3}

Solution

x \geq \frac{4}{3}

+2

Interval Notation

[\frac{4}{3}, \infty)

Decimal Notation

x \geq 1.33333 \dots

Solution steps

x + \frac{5}{3} \leq 2 x + \frac{1}{3} \leq 3 x + \frac{4}{3}

If

a \leq u \leq b

then

a \leq u and u \leq b

x + \frac{5}{3} \leq 2 x + \frac{1}{3} and 2 x + \frac{1}{3} \leq 3 x + \frac{4}{3}

x + \frac{5}{3} \leq 2 x + \frac{1}{3} : x \geq \frac{4}{3}

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

Combine the intervals

x \geq \frac{4}{3} and x \geq - 1

Merge Overlapping Intervals

x \geq \frac{4}{3}

Popular Examples

factor 648a+1029a^2 factor

648 a + 1029 a^{2}

54 + x = 180

-5.2+57.9=15.9+1.8x

- 5.2 + 57.9 = 15.9 + 1.8 x

factor 24a^5-64a^2 factor

24 a^{5} - 64 a^{2}

factor n^2-n-90 factor

n^{2} - n - 90

Frequently Asked Questions (FAQ)

What is x+5/3 <= 2x+1/3 <= 3x+4/3 ?
The solution to x+5/3 <= 2x+1/3 <= 3x+4/3 is x>= 4/3