What is 1/3 t-5<t-2<=-3t+7 ?

The solution to 1/3 t-5<t-2<=-3t+7 is -9/2 <t<= 9/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/3 t-5<t-2<=-3t+7

\frac{1}{3} t - 5 < t - 2 \leq - 3 t + 7

- \frac{9}{2} < t \leq \frac{9}{4}

Interval Notation

(- \frac{9}{2}, \frac{9}{4}]

Decimal Notation

- 4.5 < t \leq 2.25

Solution steps

\frac{1}{3} t - 5 < t - 2 \leq - 3 t + 7

a < u \leq b

then

a < u and u \leq b

\frac{1}{3} t - 5 < t - 2 and t - 2 \leq - 3 t + 7

\frac{1}{3} t - 5 < t - 2 : t > - \frac{9}{2}

t - 2 \leq - 3 t + 7 : t \leq \frac{9}{4}

Combine the intervals

t > - \frac{9}{2} and t \leq \frac{9}{4}

Merge Overlapping Intervals

- \frac{9}{2} < t \leq \frac{9}{4}

8 x^{5} - 58 x^{4} + 60 x^{3} + 140

\frac{3 !}{( 3 - 2 ) ! \cdot 2 !}

4 \leq 2 x - 2 \leq 12

x + 4 = 2 x - 4

\frac{2}{5} - \frac{2}{6}

What is 1/3 t-5<t-2<=-3t+7 ?
The solution to 1/3 t-5<t-2<=-3t+7 is -9/2 <t<= 9/4