What is x<= 3x-1<= 2x+1 ?

The solution to x<= 3x-1<= 2x+1 is 1/2 <= x<= 2

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x<= 3x-1<= 2x+1

x \leq 3 x - 1 \leq 2 x + 1

\frac{1}{2} \leq x \leq 2

Interval Notation

[\frac{1}{2}, 2]

Decimal Notation

0.5 \leq x \leq 2

Solution steps

x \leq 3 x - 1 \leq 2 x + 1

a \leq u \leq b

then

a \leq u and u \leq b

x \leq 3 x - 1 and 3 x - 1 \leq 2 x + 1

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

3 x - 1 \leq 2 x + 1 : x \leq 2

Combine the intervals

x \geq \frac{1}{2} and x \leq 2

Merge Overlapping Intervals

\frac{1}{2} \leq x \leq 2

25 \leq 5^{x} \leq 625

2 < 2 x - 1 < 4

- 3 < 2 x - 1 < 9

\frac{- 3}{5} < \frac{a}{3} < \frac{- 1}{6}

2 < x < 7