Simultaneous Solution of Inequalities of the form x>a and x≤b
Which of the ...
Question
Which of the following number line represents t>0 and t≤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
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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 t≤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 → t is greater than 0 and not equal to 0. There will be an open circle on zero.
Step 2: t≤4 → t is less than or equal to 4. There will be a close circle on four.
Step 3: Combining both the inequalities ⇒0<t≤4
This compound inequality represents t is greater than 0 and less than or equal to 4 simultaneously.