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Mathematics Introduction to inequalities MCQ Questions for Class 11 Commerce

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01 Practice Topic algebraic solution of linear inequalities in one variable 583 MCQs 02 Practice Topic Graphical solution of linear inequalities in two variables 575 MCQs 03 Practice Topic representation on number line 592 MCQs

Introduction to inequalities Practice Questions

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Question 1/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

यदि (a<b) है तो यह क्या बताता है?

If (a<b), what does it mean?

Explanation opens after your attempt
Correct Answer

A. (a) संख्या (b) से छोटी है(a) is less than (b)

Step 1

Concept

The symbol (<) shows the smaller value. In exams read the direction of the sign carefully.

Step 2

Why this answer is correct

The correct answer is A. (a) संख्या (b) से छोटी है / (a) is less than (b). The symbol (<) shows the smaller value. In exams read the direction of the sign carefully.

Step 3

Exam Tip

चिह्न (<) छोटी संख्या को दर्शाता है। परीक्षा में चिह्न की दिशा ध्यान से देखें।

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Question 2/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

असमानता \(x\ge 7\) का सही अर्थ क्या है?

What is the correct meaning of the inequality \(x\ge 7\)?

Explanation opens after your attempt
Correct Answer

B. (x) (7) से बड़ा या बराबर है(x) is greater than or equal to (7)

Step 1

Concept

The symbol \(\ge\) also includes equality. Remember the difference between open and closed points.

Step 2

Why this answer is correct

The correct answer is B. (x) (7) से बड़ा या बराबर है / (x) is greater than or equal to (7). The symbol \(\ge\) also includes equality. Remember the difference between open and closed points.

Step 3

Exam Tip

चिह्न \(\ge\) में बराबर होना भी शामिल है। खुले और बंद बिंदु का अंतर याद रखें।

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Question 3/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

इनमें से कौन सी रैखिक असमानता है?

Which of the following is a linear inequality?

Explanation opens after your attempt
Correct Answer

A. (2x+3<9)

Step 1

Concept

In (2x+3<9), the variable has power (1), so it is linear. A linear inequality does not contain \(x^2\) or (xy).

Step 2

Why this answer is correct

The correct answer is A. (2x+3<9). In (2x+3<9), the variable has power (1), so it is linear. A linear inequality does not contain \(x^2\) or (xy).

Step 3

Exam Tip

(2x+3<9) में चर की घात (1) है इसलिए यह रैखिक है। रैखिक असमानता में \(x^2\) या (xy) नहीं होता।

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Question 4/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

कौन सा मान (x<4) को संतुष्ट करता है?

Which value satisfies (x<4)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

Since (3<4) is true, (x=3) is a solution. Substitution is the simplest checking method.

Step 2

Why this answer is correct

The correct answer is C. (3). Since (3<4) is true, (x=3) is a solution. Substitution is the simplest checking method.

Step 3

Exam Tip

(3<4) सत्य है इसलिए (x=3) समाधान है। मान रखकर जाँच करना सबसे सरल तरीका है।

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Question 5/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

असमानता \(x\le 2\) में (x=2) के लिए कथन कैसा है?

For (x=2), how is the statement \(x\le 2\)?

Explanation opens after your attempt
Correct Answer

A. सत्यTrue

Step 1

Concept

The sign \(\le\) includes equality, so \(2\le 2\) is true. In exams distinguish \(\le\) from (<).

Step 2

Why this answer is correct

The correct answer is A. सत्य / True. The sign \(\le\) includes equality, so \(2\le 2\) is true. In exams distinguish \(\le\) from (<).

Step 3

Exam Tip

\(\le\) में बराबरी शामिल होती है इसलिए \(2\le 2\) सत्य है। परीक्षा में \(\le\) और (<) को अलग रखें।

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Question 6/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

वाक्य (y) (10) से अधिक है को असमानता में कैसे लिखेंगे?

How do we write the sentence (y) is more than (10) as an inequality?

Explanation opens after your attempt
Correct Answer

B. (y>10)

Step 1

Concept

More than means (>). When translating language to symbols, identify the key phrase.

Step 2

Why this answer is correct

The correct answer is B. (y>10). More than means (>). When translating language to symbols, identify the key phrase.

Step 3

Exam Tip

अधिक है का अर्थ (>) होता है। भाषा को प्रतीक में बदलते समय मुख्य शब्द पहचानें।

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Question 7/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

वाक्य (p) (12) से अधिक नहीं है का सही रूप क्या है?

What is the correct form of the sentence (p) is not more than (12)?

Explanation opens after your attempt
Correct Answer

C. \(p\le 12\)

Step 1

Concept

Not more than means at most (12), so \(p\le 12\). Such phrases often include equality.

Step 2

Why this answer is correct

The correct answer is C. \(p\le 12\). Not more than means at most (12), so \(p\le 12\). Such phrases often include equality.

Step 3

Exam Tip

अधिक नहीं है का अर्थ अधिकतम (12) है यानी \(p\le 12\)। ऐसे शब्दों में बराबरी अक्सर शामिल होती है।

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Question 8/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

यदि (x>3) है तो दोनों ओर (2) जोड़ने पर क्या मिलेगा?

If (x>3), what do we get after adding (2) to both sides?

Explanation opens after your attempt
Correct Answer

A. (x+2>5)

Step 1

Concept

Adding the same number to both sides does not change the inequality direction. In addition or subtraction the sign stays the same.

Step 2

Why this answer is correct

The correct answer is A. (x+2>5). Adding the same number to both sides does not change the inequality direction. In addition or subtraction the sign stays the same.

Step 3

Exam Tip

दोनों ओर समान संख्या जोड़ने से असमानता की दिशा नहीं बदलती। जोड़ या घटाव में चिह्न वैसा ही रहता है।

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Question 9/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

यदि (m<6) है तो दोनों ओर (4) से गुणा करने पर क्या होगा?

If (m<6), what happens after multiplying both sides by (4)?

Explanation opens after your attempt
Correct Answer

A. (4m<24)

Step 1

Concept

Multiplying by a positive number does not reverse the sign. The sign reverses only with negative multiplication or division.

Step 2

Why this answer is correct

The correct answer is A. (4m<24). Multiplying by a positive number does not reverse the sign. The sign reverses only with negative multiplication or division.

Step 3

Exam Tip

धनात्मक संख्या से गुणा करने पर चिह्न नहीं पलटता। केवल ऋणात्मक गुणा या भाग में चिह्न पलटता है।

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Question 10/590 Easy Mathematics Linear Inequalities Introduction to inequalities Class 11 Level 40

यदि (x>5) है तो दोनों ओर (-1) से गुणा करने पर सही असमानता कौन सी है?

If (x>5), which inequality is correct after multiplying both sides by (-1)?

Explanation opens after your attempt
Correct Answer

B. (-x< -5)

Step 1

Concept

When multiplying by a negative number, the inequality sign reverses. This is a very common mistake.

Step 2

Why this answer is correct

The correct answer is B. (-x< -5). When multiplying by a negative number, the inequality sign reverses. This is a very common mistake.

Step 3

Exam Tip

ऋणात्मक संख्या से गुणा करने पर असमानता का चिह्न पलट जाता है। यह बहुत सामान्य गलती है।

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