What is 29<= 7n+3<= 99 ?

The solution to 29<= 7n+3<= 99 is 26/7 <= n<= 96/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

29<= 7n+3<= 99

29 \leq 7 n + 3 \leq 99

\frac{26}{7} \leq n \leq \frac{96}{7}

Interval Notation

[\frac{26}{7}, \frac{96}{7}]

Decimal Notation

3.71428 \dots \leq n \leq 13.71428 \dots

Solution steps

29 \leq 7 n + 3 \leq 99

a \leq u \leq b

then

a \leq u and u \leq b

29 \leq 7 n + 3 and 7 n + 3 \leq 99

29 \leq 7 n + 3 : n \geq \frac{26}{7}

7 n + 3 \leq 99 : n \leq \frac{96}{7}

Combine the intervals

n \geq \frac{26}{7} and n \leq \frac{96}{7}

Merge Overlapping Intervals

\frac{26}{7} \leq n \leq \frac{96}{7}

2 x + 5 < 3 x + 8 < - x + 16

\frac{- 2}{3} < - \frac{x}{3} + 2 \leq \frac{2}{3}

- 2 \leq \frac{( 5 - 3 x )}{4} < \frac{1}{2}

- 7 < 2 x - 3 < 9

x - 2 < 2 \frac{x}{3} - 2 < 3 \frac{x}{2} - \frac{1}{3}