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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 1≤x<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: ⇒x≥1 which can also be written as 1≤x (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. ⇒1≤x and x<4 Combining the above two inequalities, we get 1≤x<4 Hence, x is greater than or equal to 1 and x is less than 4.

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