If L={x: x is a whole number and x²<5}, what is L?
Answer and explanation
Correct answer: L={0,1,2}
Whole numbers are 0,1,2,3,..., so begin by checking their squares against 5. We have 0²=0<5, 1²=1<5, and 2²=4<5, whereas 3²=9 is not less than 5. Since the squares increase for nonnegative whole numbers, every number larger than 3 also fails. Therefore L={0,1,2}; option A is correct. Option B wrongly omits zero, and C includes 3.
Frequently asked questions
What is the correct answer to this question?
L={0,1,2}
Why is this the correct answer?
Whole numbers are 0,1,2,3,..., so begin by checking their squares against 5. We have 0²=0<5, 1²=1<5, and 2²=4<5, whereas 3²=9 is not less than 5. Since the squares increase for nonnegative whole numbers, every number larger than 3 also fails. Therefore L={0,1,2}; option A is correct. Option B wrongly omits zero, and C includes 3.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
