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Question

What inequality is represented on this number line?
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
1x<4
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B
1x4
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C
1<x4
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D
1<x
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Solution

The correct option is A 1x<4


There is a closed––––– circle at 1 and the line goes to the right side representing the numbers greater than or equal to 1.
It can be represented mathematically as:
x1 which can also be written as 1x (writing x on the right hand side)

There is also an open circle at 4 and the line goes to the left side representing the numbers lesser than or equal to 4.
It can be represented mathematically as:
x<4

Hence, The line between these two points means that x satisfies both inequalities, so a double inequality must be created.
1x and x<4
Combining the above two inequalities, we get 1x<4

Hence, x is greater than or equal to 1 and x is less than 4.


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