Question

Which of the following value(s) of $c$ hold true for the statement "$c$ is at least -4 but not more than 0?

• A. $c=0$
• B. $c=-4$
• C. $c=-2$
• D. $c=-5$

Answer 1

Answer: (A), (B), (C)

$c=-2$

Given, $c$ is a number that is at least -4 but not more than 0.

Step 1: $c$ is at least -4.
Hence, $c$ can have any value which is greater than or equal to $-4$.

The above statement is mathemtically representated as: $c\ge -4$ which can also be written as $-4\le c$

It can be represented in the number line as:

Step 2: $c$ is not more than 0.
Hence, $c$ can have any value which is less than or equal to $0$.

The above statement is mathemtically representated as: $c\le 0$
It can be represented in the number line as:

Combinig both the inequality:
$-4\le c\le 0$
It can be represented in the number line as:

Hence, all the values more than -4 and less than or equal to 0 are accepted.

Option (a): $c=0$
Value of c is equal to 0.
$\to$ ACCEPTED

Option (b): $c=-4$
Value of c is equal to -4.
$\to$ ACCEPTED

Option (c): $c=-2$
Value of c is equal to -2.
$\to$ ACCEPTED

Option (d): $c=-5$
Value of c is -5 less than -4.
$\to$ REJECTED