If 3x - 2 < 4 and x is a positive integer, what is the largest possible value

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Question: If 3x - 2 < 4 and x is a positive integer, what is the largest possible value of x?

Options:

Correct Answer: 3

Solution:

Solving gives 3x < 6, thus x < 2. The largest integer is 2.

If 3x - 2 < 4 and x is a positive integer, what is the largest possible value of x?

If 3x - 2 < 4 and x is a positive integer, what is the largest possible value of x?

Step 1: Start with the inequality 3x - 2 < 4.
Step 2: Add 2 to both sides of the inequality to isolate the term with x. This gives you 3x < 6.
Step 3: Now, divide both sides of the inequality by 3 to solve for x. This gives you x < 2.
Step 4: Since x must be a positive integer, the possible values for x are 1 and 2.
Step 5: The largest positive integer that is less than 2 is 1, but since we are looking for the largest integer that satisfies the inequality, we can also check if 2 is valid.
Step 6: Since x must be less than 2, the largest possible value of x is 1.

Inequalities – Understanding how to solve and interpret inequalities involving variables.
Integer Constraints – Recognizing the implications of the variable being a positive integer.