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Home » Past Questions » Mathematics » If a positive integer, list the values of x which satisfy the equation 3x - 4 < 6 and x - 1 > 0...

If a positive integer, list the values of x which satisfy the equation 3x - 4 < 6 and x - 1 > 0...

Question

If a positive integer, list the values of x which satisfy the equation 3x - 4 < 6 and x - 1 > 0

Options

A) {1, 2, 3}

B) {2, 3}

C) {2, 3, 4}

D) {2, 3, 4, 5}

The correct answer is B.

Explanation:

3x - 4 < 6 = 3x < 6 = 4

3x < 10

x < \(\frac{10}{3}\)

x < 3.33 and x - 1 = 0

n > 1 = 1< x; since x is an integer, and 1 < x3.33

x = {2, 3}

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