Linear Inequalities - Online Test

Q1. {4,5,6} is the solution set of
Answer : Option D
Explaination / Solution:


Hence solution set of the system is 


Q2. What are the integer values of x which satisfy the inequalities x>−2andx<2 ?
Answer : Option C
Explaination / Solution:



Q3. Given that x is an integer , find the values of x which satisfy the simultaneous linear inequalities 2 + x < 6 and 2−3x < − 1.
Answer : Option D
Explaination / Solution:

We have 


 

Now 

Hence the solution of the given system of equations is given by 


Q4. Solve : 30x < 200, when x is a natural number :
Answer : Option C
Explaination / Solution:



Q5. The solution set for : 3x − 7 >x + 3.
Answer : Option D
Explaination / Solution:



Q6. The solution set for ( x + 3 ) + 4 > − 2x + 5:
Answer : Option B
Explaination / Solution:



Q7. Solve the system of inequalities 2x + 5 ≤ 0 , x − 3 ≤ 0
Answer : Option D
Explaination / Solution:



Q8. Solve the system of inequalities x − 2 > 0 , 3x < 18
Answer : Option C
Explaination / Solution:



Q9. Solve the system of inequalities 
Answer : Option A
Explaination / Solution:


Hence solution set is 

which implies no solution exists.


Q10. Solve the system of inequalities (x + 5 ) − 7 ( x − 2 ) ≥ 4x + 9 , 2 ( x − 3 ) − 7 ( x + 5 ) ≤ 3x − 9
Answer : Option A
Explaination / Solution:


Hence the solution set is 

Which means