Mathematics Questions and Answers – Inequalities

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Inequalities”.

1. 7>5 is ______________________
a) linear inequality
b) quadratic inequality
c) numerical inequality
d) literal inequality
View Answer

Answer: c
Explanation: Since here numbers are compared with inequality sign so, it is called numerical inequality.

2. x>5 is _____________________
a) double inequality
b) quadratic inequality
c) numerical inequality
d) literal inequality
View Answer

Answer: d
Explanation: Since a variable ‘x’ is compared with number ‘5’ with inequality sign so it is called literal inequality.

3. ax + b > 0 is _____________________
a) double inequality
b) quadratic inequality
c) numerical inequality
d) linear inequality
View Answer

Answer: d
Explanation: Since it has highest power of x ‘1’ and has inequality sign so, it is called linear inequality.
It is not numerical inequality as it does not have numbers on both sides of inequality.
It does not have two inequality signs so it is not double inequality.
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4. ax2+bx+c > 0 is _____________________
a) double inequality
b) quadratic inequality
c) numerical inequality
d) linear inequality
View Answer

Answer: b
Explanation: Since it has highest power of x ‘2’ and has inequality sign so, it is called quadratic inequality.
It is not numerical inequality as it does not have numbers on both sides of inequality.
It does not have two inequality signs so it is not double inequality.

5. ax2+bx+c ≥ 0 is a strict inequality.
a) True
b) False
View Answer

Answer: a
Explanation: Since it has equality sign along with inequality sign so it is a slack inequality not strict inequality.

6. If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at least 10 rupees is given by inequation __________________
a) x ≥ 10
b) x ≤ 10
c) x ≤ 50
d) x ≥ 50
View Answer

Answer: d
Explanation: Amount left is at least 10 rupees i.e. amount left ≥ 10.
x-40 ≥ 10 => x ≥ 50.

7. If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at most 10 rupees is given by inequation __________________
a) x ≥ 10
b) x ≤ 10
c) x ≤ 50
d) x ≥ 50
View Answer

Answer: c
Explanation: Amount left is at most 10 rupees i.e. amount left ≤ 10.
x-40 ≤ 10 => x ≤ 50.
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Sanfoundry Global Education & Learning Series – Mathematics – Class 11.

To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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