For the following statements, write True (T) or False (F). If the statement is false, correct the statement.
(a) $ -8 $ is to the right of $ -10 $ on a number line.
(b) $– 100$ is to the right of $– 50$ on a number line.
(c) Smallest negative integer is $– 1$.
(d) $– 26$ is greater than $– 25$.

To do:

We have to find whether the given statements are true or false.

Solution:

(a) Here,

$-8>-10$

Therefore,

\( -8 \) is to the right of \( -10 \) on a number line.

The given statement is true. 

(b) Here,

$-50>-100$

Therefore,

\( -50 \) is to the right of \( -100 \) on a number line.

The given statement is false. 

(c) We know that

$,....-3<-2<-1$

Therefore,

$-1$ is the greatest negative integer.

The given statement is false. 

(d) We know that

$-26<-25$

Therefore,

$-26$ is smaller than $-25$

The given statement is false.