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.
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.
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.
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.
then 
