Question

The least integer between $-10$ and $-15$ is:

• A. $-10$
• B. $-11$
• C. $-15$
• D. $-14$

Answer 1

The correct option is D

$-14$

Explanation for the correct option:

Correct option: Option D ($-14$)

The integers between $-10$ and $-15$ are $-11$, $-12$, $-13$, $-14$.

We know that the greater the absolute value of an integer, the smaller its negative value.

The absolute value of $-11$, $-12$, $-13$, $-14$ is $11$, $12$, $13$, $14$ respectively.

The greatest absolute value is $14$.

Hence, the least integer between $-10$ and $-15$ is $-14$.

Explanation for the incorrect options:

Option A ($-10$)

$-10$ does not lie between $-10$ and $-15$.

Hence, option A is the incorrect option.

Option B ($-11$)

The absolute value of $-11$ is $11$.

$-11$ has the smallest absolute value among all the integers between $-10$ and $-15$.

That means, $-11$ is the greatest integer between $-10$ and $-15$.

Hence, option B is the incorrect option.

Option C ($-15$)

$-15$ does not lie between $-10$ and $-15$.

Hence, option C is the incorrect option.