What is -14/3 <= (4y-2)/4 <=-3/2 ?

The solution to -14/3 <= (4y-2)/4 <=-3/2 is -25/6 <= y<=-1

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-14/3 <= (4y-2)/4 <=-3/2

- \frac{14}{3} \leq \frac{4 y - 2}{4} \leq - \frac{3}{2}

- \frac{25}{6} \leq y \leq - 1

Interval Notation

[- \frac{25}{6}, - 1]

Decimal Notation

- 4.16666 \dots \leq y \leq - 1

Solution steps

- \frac{14}{3} \leq \frac{4 y - 2}{4} \leq - \frac{3}{2}

a \leq u \leq b

then

a \leq u and u \leq b

- \frac{14}{3} \leq \frac{4 y - 2}{4} and \frac{4 y - 2}{4} \leq - \frac{3}{2}

- \frac{14}{3} \leq \frac{4 y - 2}{4} : y \geq - \frac{25}{6}

\frac{4 y - 2}{4} \leq - \frac{3}{2} : y \leq - 1

Combine the intervals

y \geq - \frac{25}{6} and y \leq - 1

Merge Overlapping Intervals

- \frac{25}{6} \leq y \leq - 1

5 x^{2} - 8 x + 4 = 0

2 x + 8 < x^{2}

240 = w (2 w - 4)

\frac{1}{4} n^{2} + 3 = 4

7^{2} + b^{2} = 2 5^{2}

What is -14/3 <= (4y-2)/4 <=-3/2 ?
The solution to -14/3 <= (4y-2)/4 <=-3/2 is -25/6 <= y<=-1