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Question

Which of the following number line represents t>0 and t4?
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
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B
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C
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D
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Solution

The correct option is C
Given, t>0 and t4

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
t is greater than 0 and not equal to 0. There will be an open circle on zero.

Step 2: t4
t is less than or equal to 4. There will be a close circle on four.

Step 3: Combining both the inequalities
0<t4

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


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