1
Question
Which one of the following 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.
Which one of the following 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.
Open in App
Solution
The correct option is A −2<x<2
There is a open circle at 2 with the line showing the numbers that are less than 2.
This means x<2 (writing the x on the left-hand side).
There is also an open circle at -2, with the numbers greater than -2 indicated. This means x>−2 or −2<x.
(writing the x on the right-hand side).
The line between these two points means that x satisfies both the inequalities, so a double inequality must be created.
−2<x and x<2
Combining both the inequalities gives −2<x<2.
Hence, x is greater than −2 and x is less than 2.
There is a open circle at 2 with the line showing the numbers that are less than 2.
This means x<2 (writing the x on the left-hand side).
There is also an open circle at -2, with the numbers greater than -2 indicated. This means x>−2 or −2<x.
(writing the x on the right-hand side).
The line between these two points means that x satisfies both the inequalities, so a double inequality must be created.
−2<x and x<2
Combining both the inequalities gives −2<x<2.
Hence, x is greater than −2 and x is less than 2.
Suggest Corrections
0
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.Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
