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Linear Inequalities

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Inequalities

Subtopic

Inequalities under Linear Inequalities for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve 4x+2>24x + 2 > 2 for x∈Rx \in \mathbb{R}.

    A.

    x>0x > 0

    B.

    x<0x < 0

    C.

    x>1x > 1

    D.

    x<1x < 1

  2. 2.

    Solve 5(x−2)≤05(x - 2) \leq 0 for x∈Rx \in \mathbb{R}.

    A.

    x≤2x \leq 2

    B.

    x≥2x \geq 2

    C.

    x≤0x \leq 0

    D.

    x≤−2x \leq -2

  3. 3.

    If x∈Nx \in \mathbb{N}, solve x−4≤−2x - 4 \leq -2.

    A.

    {1,2}\{1, 2\}

    B.

    {1,2,3}\{1, 2, 3\}

    C.

    {0,1,2}\{0, 1, 2\}

    D.

    {1}\{1\}

Download the worksheet for Linear Inequalities - Inequalities to practice offline. It includes additional chapter-level practice questions.

Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

Subtopic

Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation under Linear Inequalities for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the natural number solutions for x−10≤−8x - 10 \le -8.

    A.

    {1, 2}

    B.

    {0, 1, 2}

    C.

    {1}

    D.

    {1, 2, 3}

  2. 2.

    Solve the inequality 1−x>01 - x > 0 for x∈Rx \in \mathbb{R}.

    A.

    x > 1

    B.

    x < 1

    C.

    x < -1

    D.

    x≥1x \ge 1

  3. 3.

    Solve 9x+9≥09x + 9 \ge 0 for x∈Rx \in \mathbb{R}.

    A.

    x≥1x \ge 1

    B.

    x≥−1x \ge -1

    C.

    x≤−1x \le -1

    D.

    x > -1

Download the worksheet for Linear Inequalities - Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation to practice offline. It includes additional chapter-level practice questions.

Graphical Solution of Linear Inequalities in Two Variables

Subtopic

Graphical Solution of Linear Inequalities in Two Variables under Linear Inequalities for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The line x+y=2x + y = 2 is the boundary for x+y≥2x + y \geq 2. A point on the line is:

    A.

    (0,0)(0, 0)

    B.

    (1,1)(1, 1)

    C.

    (2,2)(2, 2)

    D.

    (1,0)(1, 0)

  2. 2.

    In the graphical solution of ax+by>cax + by > c, if c>0c > 0 and a,b>0a, b > 0, does the origin satisfy the inequality?

    A.

    Always

    B.

    Never

    C.

    Only if a=ba = b

    D.

    Only if cc is even

  3. 3.

    The point (3,4)(3, 4) satisfies which of the following?

    A.

    x+y<7x + y < 7

    B.

    x+y≤7x + y \leq 7

    C.

    x+y>10x + y > 10

    D.

    x−y>0x - y > 0

Download the worksheet for Linear Inequalities - Graphical Solution of Linear Inequalities in Two Variables to practice offline. It includes additional chapter-level practice questions.

Solution of System of Linear Inequalities in Two Variables

Subtopic

Solution of System of Linear Inequalities in Two Variables under Linear Inequalities for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The region x+y<2x + y < 2 and x+y>3x + y > 3 is:

    A.

    A strip between lines

    B.

    A triangle

    C.

    Empty

    D.

    The whole plane except a strip

  2. 2.

    Which of these is a solution for 2x−y≤32x - y \le 3?

    A.

    (5,0)(5, 0)

    B.

    (3,1)(3, 1)

    C.

    (1,1)(1, 1)

    D.

    (4,2)(4, 2)

  3. 3.

    In the system x≥1,y≥1x \ge 1, y \ge 1, what is the minimum value of x+yx+y?

    A.

    00

    B.

    11

    C.

    22

    D.

    No minimum

Download the worksheet for Linear Inequalities - Solution of System of Linear Inequalities in Two Variables to practice offline. It includes additional chapter-level practice questions.

Linear Inequalities - CBSE Class 11 Maths Notes & Revision | Krit.club