Solve the following inequality for real x:3(x – 1) ≤ 2 (x �

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 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.

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3.

Solve 5x – 3 < 7, when

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

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4.

Solve 3x + 8 > 2, when

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

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5. Solve the following inequality for real x:

3(x – 1) ≤ 2 (x – 3)


3(x – 1) ≤ 2 (x – 3)

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6. Solve the following inequality for real x:

3 (2 – x) ≥ 2 (1 – x)
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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
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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


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9. Solve the following inequality for real x:

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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






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