Which one of the following graphs represents a compound inequality?
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
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D Definition: A pair of inequalities (compound inequality) are connected by "and"/"or" statement.
Option (a):
A closed circle at 4 and the red line goes to the left, indicating that x is less than or equal to 4. →x≤4
Option (b):
A closed circle at 4 and the red line goes to the right, indicating that x is greater than or equal to 4. →x≥4
Option (c):
A closed circle at 4 indicating that x is equal to 4. →x=4
Option (d):
A closed circle at 4, 7 and the red line goes from 4 to 7, indicating that x is less than or equal to 4, but greater than or equal to 7. →x≥4 and x≤7
Hence, Option d is correct.