Solve 5x – 3 < 7, when(i) x is an integer.          
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    Linear Inequalities

    Multiple Choice QuestionsShort Answer Type

    1. Solve 24x < 100, when

    (i) x is a natural number

    (ii) x is an integer
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    2.

    Solve -12x > 30, when

    (i) x is a natural number.            (ii) x is an integer.

    452 Views
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    3.

    Solve 5x – 3 < 7, when

    (i) x is an integer.              (ii) x is a real number.          

    5x – 3 < 7

                   5x – 3 < 7 rightwards double arrow 5x < 10 rightwards double arrow x<2

    ∴    (i) When space space straight x element of space straight Z comma space straight x space equals space 1 comma space 0 comma space minus 1 comma space minus 2 comma space........
               The solution set is open curly brackets.... comma space minus 3 comma space minus 2 comma space minus 1 comma space 0 comma space 1 close curly brackets

          (ii) When straight x space element of space straight R comma space space straight x less than 2 space or space straight x space element of space left parenthesis negative infinity comma space 2 right parenthesis

    ∴      The solution set is space space left parenthesis negative infinity comma space 2 right parenthesis

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    4.

    Solve 3x + 8 > 2, when

    (i) x is an integer.              (ii) x is a real number.          

    600 Views
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    5. Solve the following inequality for real x:

    3(x – 1) ≤ 2 (x – 3)
    398 Views
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    6. Solve the following inequality for real x:

    3 (2 – x) ≥ 2 (1 – x)
    109 Views
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    7. Solve the following inequality for real x:

    fraction numerator 3 space left parenthesis straight x minus 2 right parenthesis over denominator 5 end fraction less or equal than fraction numerator 5 space left parenthesis 2 straight x minus 3 right parenthesis over denominator 3 end fraction
    102 Views
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    8. Solve the following inequality for real x:

    1 half open parentheses fraction numerator 3 straight x over denominator 5 end fraction plus 4 close parentheses greater or equal than 1 third left parenthesis straight x minus 6 right parenthesis
    129 Views
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    9. Solve the following inequality for real x:

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    105 Views
    Answer
    10. Solve the following inequality for real x:

    fraction numerator left parenthesis 2 straight x minus 1 right parenthesis over denominator 3 end fraction greater or equal than fraction numerator left parenthesis 3 straight x minus 2 right parenthesis over denominator 4 end fraction minus fraction numerator left parenthesis 2 minus straight x right parenthesis over denominator 5 end fraction
    127 Views
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