What is (-101)/3 <5 y/3+3<= 51/3 ?

The solution to (-101)/3 <5 y/3+3<= 51/3 is -22<y<= 42/5

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(-101)/3 <5 y/3+3<= 51/3

\frac{- 101}{3} < 5 \frac{y}{3} + 3 \leq \frac{51}{3}

- 22 < y \leq \frac{42}{5}

Interval Notation

(- 22, \frac{42}{5}]

Decimal Notation

- 22 < y \leq 8.4

Solution steps

\frac{- 101}{3} < 5 \cdot \frac{y}{3} + 3 \leq \frac{51}{3}

a < u \leq b

then

a < u and u \leq b

\frac{- 101}{3} < 5 \cdot \frac{y}{3} + 3 and 5 \cdot \frac{y}{3} + 3 \leq \frac{51}{3}

\frac{- 101}{3} < 5 \cdot \frac{y}{3} + 3 : y > - 22

5 \cdot \frac{y}{3} + 3 \leq \frac{51}{3} : y \leq \frac{42}{5}

Combine the intervals

y > - 22 and y \leq \frac{42}{5}

Merge Overlapping Intervals

- 22 < y \leq \frac{42}{5}

1 < ∣ z ∣ < 2

25 < x^{2} < 36

1 < x < 20

z < 52 - z < 1.52 z

x^{2} > x^{3} > x

What is (-101)/3 <5 y/3+3<= 51/3 ?
The solution to (-101)/3 <5 y/3+3<= 51/3 is -22<y<= 42/5