# 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
c) numerical inequality
d) literal inequality

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

2. x>5 is _____________________
a) double inequality
c) numerical inequality
d) literal inequality

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
c) numerical inequality
d) linear inequality

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.

4. ax2+bx+c > 0 is _____________________
a) double inequality
c) numerical inequality
d) linear inequality

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

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

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

Explanation: Amount left is at most 10 rupees i.e. amount left ≤ 10.
x-40 ≤ 10 => x ≤ 50. 