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Which of the values below is in the solution set of: x > 1 V x > 3?

a) x = 2
b) x = 0
c) x = 4
d) x = 3

User Kburke
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1 Answer

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Final answer:

Values x = 2 and x = 4 are in the solution set of the inequality x > 1 or x > 3 because they satisfy at least one of the inequalities; x = 0 and x = 3 do not.

Step-by-step explanation:

The student asks which of the provided values is in the solution set of the inequality x > 1 or x > 3. The symbol 'V' represents the logical 'or', meaning that we are looking for values of x that satisfy at least one of the inequalities.

To determine which value belongs to the solution set, we need to check each option:
a) x = 2: This value satisfies the first inequality, since 2 is greater than 1.

b) x = 0: This value does not satisfy either inequality.

c) x = 4: This value satisfies both inequalities, as 4 is greater than both 1 and 3.

d) x = 3: This value does not satisfy either inequality because it is exactly equal to 3 and not greater than 3.

Therefore, the values that are in the solution set of the given inequalities are a) x = 2 and c) x = 4.

User Ananthapadmanabhan
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