Question

Which of the following number line represents $t>0$ and $t\le 4$?
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 C

Given, $t>0$ and $t\le 4$

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

Step 1: $t>0$ can be represented as $0<t$
$\to$ t is greater than 0 and not equal to 0. There will be an open circle on zero.

Step 2: $t\le 4$
$\to$ t is less than or equal to 4. There will be a close circle on four.

Step 3: Combining both the inequalities
$\Rightarrow 0<t\le 4$

This compound inequality represents $t$ is greater than $0$ and less than or equal to $4$ simultaneously.