Linear Inequalities Online Objective Test | Linear Inequalities Online Objective Test

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q1. Solve the system of inequalities − 4x + 1 ≥ 0 , 3 − 4x < 0

A. ( -2 , 3)

B. ( 1 , 3 )

C. no solution

D. ( - 4 , 3 )

Answer : Option C
Explaination / Solution:

Hence solution set is $(- \infty, \frac{- 5}{2}] ⋂ (\frac{3}{4}, \infty) = Φ$

which means no solution exist.

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q2. Solve the system of inequalities :

x - 5 > 0

\frac{2 x - 4}{x + 2} < 2

A. x > 5

B. x > 2

C. none of these

D. x < − 2

Answer : Option A
Explaination / Solution:

Hence the solution set is $(5, \infty) \cap (- 2, \infty) = (5, \infty)$

which means $x > 5$

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q3. Solve the system of inequalities :

\frac{x + 7}{x - 8} > 2, \frac{2 x + 1}{7 x - 1} > 5

A. ( 3 , 6 )

B. None of these

C. no solution

D. ( 2 , 5 )

Answer : Option C
Explaination / Solution:

Hence the solution of the system

\frac{x + 7}{x - 8} > 2, \frac{2 x + 1}{7 x - 1} > 5

will be

(8, 23) \cap (\frac{1}{7}, \frac{2}{11}) = Φ

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q4. Solve the system of inequalities − 2 ≤ 6x − 1 < 2

A. −16<x<32

B. none of these

C. −17≤x>12

D. −16≤x>12

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q5. Solve the system of inequalities − 2 < 1 − 3x < 7

A. − 1 < x < 1

B. − 2 < x < 1

C. − 2 < x < 2

D. None of these

Answer : Option B
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q6. Solve the system of inequalitie:

- 15 < \frac{3 (x - 2)}{5} \leq 0

A. −13 < x < 13

B. − 23 < x < 23

C. −13 < x < 2

D. − 23 < x ≤ 2

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q7. The solution set for | 3x − 2 | ≤ 1/2

A. [ 5/6 , 1/2 ]

B. none of these

C. [ 2/3 , 2/3 ]

D. [ 1/2 ,5/6 ]

Answer : Option D
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q8. The solution set for | x | > 7

A. (−∞,−7)∪(7,∞)

B. ( 7 , ∞)

C. (−∞,−7)∩(7,∞)

D. none of these.

Answer : Option A
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q9. The solution set for :

\frac{| x | - 1}{| x | - 2} \geq 0, x \neq \pm 2

A. ( -2 , 2 )

B. (−∞,−2)∪(−1,1)∪(2,∞)

C. (−1,2)∪(3,∞)

D. (−∞,−2)∪(2,∞)

Answer : Option B
Explaination / Solution:

# Linear Inequalities # CBSE 11th Mathematics Prepare / Learn

Q10. The solution set for :

| \frac{2 (3 - x)}{5} | < \frac{3}{5}

A. none of these

B. ( 3/2 , 9/2 )

C. (12,32)

D. (14,34)

Answer : Option B
Explaination / Solution:

Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0

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