Question

Which of the following number line represents $t\ge -2$ and $t\le 2$?
Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution"

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Given, $\text{t}\ge -2$ and $t\le 2$

Compound inequality is a combination of two separate inequalities that satisfies both the condition of the two inequalities.

Step 1: $t\ge -2$ can be represented as -2$\le t$
$\to$ $t$ is greater than or equal to -2 . Hence there will be a closed circle on -2.

Step 2: $t\le 2$
$\to$ $t$ is less than or equal to 2. Hence there will be a closed circle on zero.

Combinining both the inequalities:
$\Rightarrow -2\le t\le 2$
This compound inequality represents $t$ is greater than or equal to $-2$ and less than or equal to $2$ simultaneously.