Final answer:
The inequality 52° < x < 31 is likely a mistake since 52 is greater than 31. The correct inequality should be 31 < x < 52, suggesting that x is a number between 31 and 52. Option (b), 12 < x < 52, matches the corrected inequality range best.
Step-by-step explanation:
The question is asking for the range of values for x when given the inequality 52° < x < 31. However, this inequality does not make sense because 52 degrees is already greater than 31, so it is likely a typo. Assuming the inequality is meant to be the other way around, 31 < x < 52, which means that x is a number between 31 and 52.
We can then analyze the given options:
a) x > 31
b) 12 < x < 52
c) 2x - 6
Here, option (b) matches our corrected understanding of the inequality (31 < x < 52) since it indicates that x is greater than 12 but less than 52. Option (a) could also be part of the solution since any number greater than 31 satisfies the lower part of the inequality. However, it does not provide the upper limit. Option (c) is an expression and not a range, so it cannot be the answer without further information.
Considering the vector questions provided for context, the range of values for x would be part of vector analysis in physics or mathematics, determining the magnitude and direction with respect to axes. However, those questions do not provide additional clarity to resolve the inequality in question.