you conduct a survey of your small town about having a townwide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results. write an absolute value equation for the least and greatest percentages that could be opposed. use x for the variable.

You conduct a survey of your small town about having a town wide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results.

Using the absolute value function, we have that:

A. The least percentage is of 39% and the greatest is of 49%.

B. Since the greatest percentage is below 50%, the statement conflicts with the survey data.

What is the absolute value function?

The absolute function is defined by:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the difference between the percentage of opposed and 44% can be of at most 5%, hence the absolute value equation is:

|x - 44| = 5.

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