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AS PureMathematics - Homework

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Teacher: Prof. JM Section: AS Mathematics Grade 11
Date: Week Grade Grade 11

Quadratic Inequalities

Learning Objectives
  • Understand how to solve quadratic inequalities by factoring and analyzing the sign of the quadratic expression.
  • Learn how to represent the solution of quadratic inequalities using interval notation.
  • Develop the ability to identify the nature of the roots and use graphical methods to solve quadratic inequalities.
Instruction : Show Detailed Working
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Student Materials:

    Name:.......................Grade....................

    Solving Quadratic Inequalities

    Quadratic Inequalities Worksheet

    Question 1: Solve the inequality x25x+60

    Question 2: Solve the inequality x2+3x4>0

    Question 3: Solve the inequality x22x80

    Question 4: Solve the inequality x2+4x+3<0

    Question 5: Solve the inequality x27x+100

    Question 6: Solve the inequality x26x+5<0

    Question 7: Solve the inequality x2+2x150

    Question 8: Solve the inequality x24x+3>0

    Question 9: Solve the inequality x2+5x60

    Question 10: Solve the inequality x2+6x+90

    Answer Keys:

    • Answer 1: x[2,3]
    • Answer 2: x(,4)(1,)
    • Answer 3: x(,2][4,)
    • Answer 4: x(3,1)
    • Answer 5: x(,2][5,)
    • Answer 6: x(1,5)
    • Answer 7: x[5,3]
    • Answer 8: x(,1)(3,)
    • Answer 9: x(,6][1,)
    • Answer 10: x=3
Student Materials:

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