What is -2.5<= (1-3y)/2 <= 1.5 ?

The solution to -2.5<= (1-3y)/2 <= 1.5 is -2/3 <= y<= 2

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-2.5<= (1-3y)/2 <= 1.5

- 2.5 \leq \frac{1 - 3 y}{2} \leq 1.5

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

Interval Notation

[- \frac{2}{3}, 2]

Decimal Notation

- 0.66666 \dots \leq y \leq 2

Solution steps

- 2.5 \leq \frac{1 - 3 y}{2} \leq 1.5

a \leq u \leq b

then

a \leq u and u \leq b

- 2.5 \leq \frac{1 - 3 y}{2} and \frac{1 - 3 y}{2} \leq 1.5

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

\frac{1 - 3 y}{2} \leq 1.5 : y \geq - \frac{2}{3}

Combine the intervals

y \leq 2 and y \geq - \frac{2}{3}

Merge Overlapping Intervals

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

11 a = - 16

5 a^{2} + 60 a + 100

∣ q - 1 ∣ > 4

(4 \cdot 1 0^{10}) (9 \cdot 1 0^{- 5})

2 + \frac{1}{2}

What is -2.5<= (1-3y)/2 <= 1.5 ?
The solution to -2.5<= (1-3y)/2 <= 1.5 is -2/3 <= y<= 2