Question

5. If the replacement set = {-6, -3,0,3, 6, 9, 12), find the truth set of the following: (iii) -3 < 1 - 2x.



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Answer 1

Answer:

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Step-by-step explanation:

If the replacement set ={−6,−3,0,3,6,9}, find the truth set of the following :

i) 2x−1>9

ii) 3x+7≤1

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Answer

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Replacement set ={−6,−3,0,3,6,9}

(1)

Truth set of the inequation are the numbers chosen from the Replacement set, that satisfies the inequation.

2x−1>9

2x>10

x>

2

10

x>5

So, the solution set ={6,9}

(2)

3x+7≤1

3x≤1−7

3x≤−6

x≤

3

−6

x≤−2

So, the solution set ={−6,−3}