Question

Which one of the following satisfies the below inequality?

• A. $x$ can be -1
• B. $x$ can be less than -1
• C. $x$ can be -2
• D. $x$ can not be equal to -1.

Answer 1

The correct option is A $x$ can be -1

There is a $\underset{–}{closed}$ circle at -1 which represents that the number is greater than or equal to 1.

The arrow starts from the close circle and goes towards right, Hence it shows that $x$ is greater than or equal to $-1$ which is represented in form of inequality as $-1\le x$ .

Hence, the value of $x,$ which is greater than or equal to -1 are part of the solution.

$\left(a\right)$ $x$ can be -1
$\because -1=-1$
This option is correct.

$\left(b\right)$ $x$ can be less than -1
Let $x$ be -3, $-3<-1$
This option is incorrect.

$\left(c\right)$ $x$ can be -2
$-2<-1$
This option is incorrect.

$\left(d\right)$ $x$ can not be equal to -1
Value of $x$ is equal to -1.
This option is incorrect.