What is 1/2 <= (1-2t)/3 < 2/3 ?

The solution to 1/2 <= (1-2t)/3 < 2/3 is -1/2 <t<=-1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/2 <= (1-2t)/3 < 2/3

\frac{1}{2} \leq \frac{1 - 2 t}{3} < \frac{2}{3}

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

Interval Notation

(- \frac{1}{2}, - \frac{1}{4}]

Decimal Notation

- 0.5 < t \leq - 0.25

Solution steps

\frac{1}{2} \leq \frac{1 - 2 t}{3} < \frac{2}{3}

a \leq u < b

then

a \leq u and u < b

\frac{1}{2} \leq \frac{1 - 2 t}{3} and \frac{1 - 2 t}{3} < \frac{2}{3}

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

\frac{1 - 2 t}{3} < \frac{2}{3} : t > - \frac{1}{2}

Combine the intervals

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

Merge Overlapping Intervals

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

(4 y^{\frac{5}{4}})^{\frac{1}{2}}

x^{2} + x = 12

\frac{3}{4} x + 8 = 5

- 7 < 3 + 2 x < 11

9 - x + 4 \leq 6

What is 1/2 <= (1-2t)/3 < 2/3 ?
The solution to 1/2 <= (1-2t)/3 < 2/3 is -1/2 <t<=-1/4