Mathematics Multiple Choice Questions on “Inequalities”.
1. 7>5 is ______________________
a) linear inequality
b) quadratic inequality
c) numerical inequality
d) literal inequality
Answer: c
Clarification: 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
Answer: d
Clarification: 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
Answer: d
Clarification: 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
b) quadratic inequality
c) numerical inequality
d) linear inequality
Answer: b
Clarification: 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
Answer: a
Clarification: 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
Answer: d
Clarification: 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
Answer: c
Clarification: Amount left is at most 10 rupees i.e. amount left ≤ 10.
x-40 ≤ 10 => x ≤ 50.