MHT-CET · Mathematics

Linear Inequalities (Class 11 — ~20% weight)

Algebraic and graphical solution of linear inequalities in one and two variables.

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  • Q1 · Linear Inequalities (Class 11 — ~20% weight) · EASY

    Solve the inequality: 3x - 7 < 2x + 5

  • Q2 · Linear Inequalities (Class 11 — ~20% weight) · MEDIUM

    A shopkeeper wants to buy pens and pencils. Pens cost Rs. 15 each and pencils cost Rs. 5 each. He has Rs. 300 to spend and wants to buy at least 10 items in total. If he buys x pens and y pencils, which of the following systems represents the constraints?

  • Q3 · Linear Inequalities (Class 11 — ~20% weight) · HARD

    Find the solution region for the system of inequalities: x + 2y ≥ 10, 3x + y ≤ 15, x ≥ 0, y ≥ 0. Which of the following points lies in the feasible region?

  • Q4 · Linear Inequalities (Class 11 — ~20% weight) · EASY

    The solution set of the inequality 3x - 7 < 5 is:

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