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What value of x is in the solution set of 18 < 3(b - 4)?

A. x = 2
B. x = 3
C. x = 4
D. x = 5

User Adam Quek
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1 Answer

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Final answer:

After solving the inequality 18 < 3(b - 4), we find that b (or x, assuming a typo in the question) must be greater than 10. However, given the options of 2, 3, 4, and 5 for x, none satisfy this condition. Thus, none of the options provided are correct.

Step-by-step explanation:

To determine what value of x is in the solution set of the inequality 18 < 3(b - 4), we first solve for b by adding 12 to both sides of the inequality (4 times 3) and then divide by 3, which gives us:

18 + 12 < 3b

30 < 3b

10 < b

This means that the value of b is greater than 10. However, we have to note that there is a possible typo in the question as it is given in terms of b but the answer options are in terms of x. Assuming the typo and that 'b' should be 'x', none of the provided options A. x = 2, B. x = 3, C. x = 4, or D. x = 5 satisfy the inequality since all these values are less than 10. Therefore, based on the given options, there is no correct answer.

User Peterulb
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