Solution to Let 𝐴={1,2,3,4}. Determine the truth value of each statement: i. ∀𝑥 ∈𝐴,𝑥+3<6 ii. ∃𝑥,𝑥+3<6 iii. … - Sikademy
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Archangel Macsika

Let 𝐴={1,2,3,4}. Determine the truth value of each statement: i. ∀𝑥 ∈𝐴,𝑥+3<6 ii. ∃𝑥,𝑥+3<6 iii. ∃𝑥,2𝑥2 +𝑥 =15

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i.

false: 4+3>6


ii.

true: 1+3<6


iii.

false:

2\cdot1^2+1=3

2\cdot2^2+2=10

2\cdot3^2+3=21

2\cdot4^2+4=36

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