Question

# If x is a positive integer and the range of x is represented on the number line.Find out the possibles value(s) of x?

A
-4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 4 Following observations can be drawn from the number line : 1. As there is an open circle at -4 and the line is moving towards the right side, x will be greater than -4 (but not equal to -4). Hence, x > -4 which can also be written as −4<x 2. As there is a closed circle at 4 and the line is moving towards the left side, x will be greater than or equal to 4. Hence, x ≥ 4 Combining both the inequalities: ⇒−4<x≤4 Given, →x is a positive integer, which means value of x can not be negative nor zero. → Maximum value of x is 4. So, Possible values of x: 1, 2, 3, 4 Option (c) and (d) are correct.

Suggest Corrections
0
Join BYJU'S Learning Program
Select...
Related Videos
Simultaneous Solution of Inequalities of the form x>a and x≤b
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...