# Linear Inequalities - Class 11 - Mathematics

Renews every month. Cancel anytime

### Your personal doubt-solving assistant

Chatterbot AI gives you 100% accurate answers to your questions in an instant.

## Extra Questions - Linear Inequalities | NCERT | Mathematics | Class 11

If $a>b$ and $b>c$, then,

A) $a>c$

B) $a < c$ C) $\quad \mathrm{a} = \mathrm{c}$

D) None of these

The correct option is **A)** $a > c$.

Given that:

- $a > b$
- $b > c$

From these inequalities, it follows **transitively** that if $a$ is greater than $b$, and $b$ is greater than $c$, then $a$ must be greater than $c$. Hence, **A)** $a > c$ is the correct relation.

Find the common interval among $x<0, x<-2$ and $x \leq \frac{-5}{2}$.

A) $x \in (-\infty,\frac{-5}{2})$ B) $x \in (-\infty,\frac{-5}{2}]$

C) $x \in (0,\infty)$

D) $x \in (-\infty,-2]$

### Improve your grades!

Join English Chatterbox to access detailed and curated answers, and score higher than you ever have in your exams.

Sign up now### Improve your grades!

Join English Chatterbox to access detailed and curated answers, and score higher than you ever have in your exams.

Sign up now### Improve your grades!

Join English Chatterbox to access detailed and curated answers, and score higher than you ever have in your exams.

Sign up now