What is 1/2 <= (1-2t)/4 <= 2 ?

The solution to 1/2 <= (1-2t)/4 <= 2 is -7/2 <= t<=-1/2

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1/2 <= (1-2t)/4 <= 2

\frac{1}{2} \leq \frac{1 - 2 t}{4} \leq 2

- \frac{7}{2} \leq t \leq - \frac{1}{2}

Interval Notation

[- \frac{7}{2}, - \frac{1}{2}]

Decimal Notation

- 3.5 \leq t \leq - 0.5

Solution steps

\frac{1}{2} \leq \frac{1 - 2 t}{4} \leq 2

a \leq u \leq b

then

a \leq u and u \leq b

\frac{1}{2} \leq \frac{1 - 2 t}{4} and \frac{1 - 2 t}{4} \leq 2

\frac{1}{2} \leq \frac{1 - 2 t}{4} : t \leq - \frac{1}{2}

\frac{1 - 2 t}{4} \leq 2 : t \geq - \frac{7}{2}

Combine the intervals

t \leq - \frac{1}{2} and t \geq - \frac{7}{2}

Merge Overlapping Intervals

- \frac{7}{2} \leq t \leq - \frac{1}{2}

x^{2} + 2 x = 19

- 10 x + 41 \geq 81

f = 4 (1) - 9

10 = x - 15

4 ∣ 3 x + 2 ∣ + 7 = 19

What is 1/2 <= (1-2t)/4 <= 2 ?
The solution to 1/2 <= (1-2t)/4 <= 2 is -7/2 <= t<=-1/2