What is -2<= 3(2y-1)<= 7 ?

The solution to -2<= 3(2y-1)<= 7 is 1/6 <= y<= 5/3

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-2<= 3(2y-1)<= 7

- 2 \leq 3 (2 y - 1) \leq 7

\frac{1}{6} \leq y \leq \frac{5}{3}

Interval Notation

[\frac{1}{6}, \frac{5}{3}]

Decimal

0.16666 \dots \leq y \leq 1.66666 \dots

Solution steps

- 2 \leq 3 (2 y - 1) \leq 7

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq 3 (2 y - 1) and 3 (2 y - 1) \leq 7

- 2 \leq 3 (2 y - 1) : y \geq \frac{1}{6}

3 (2 y - 1) \leq 7 : y \leq \frac{5}{3}

Combine the intervals

y \geq \frac{1}{6} and y \leq \frac{5}{3}

Merge Overlapping Intervals

\frac{1}{6} \leq y \leq \frac{5}{3}

\frac{k}{k ^{5}}

27 - \frac{1}{8} y^{9}

8 x^{- 3}

(4 x - 2)^{2} - 4 (4 x - 2) + 3 = 0

- 1 - (- 5)