Tolerance Practice

Front

What is an absolute value inequality?

Back

An absolute value inequality is an inequality that involves the absolute value of a variable, representing the distance of that variable from a certain value on the number line.

Front

How do you express a range of acceptable values using absolute value?

Back

You can express a range of acceptable values using the form |x - a| ≤ b, where 'a' is the target value and 'b' is the maximum allowable deviation.

Front

Write the absolute value inequality for a bag of candy containing 240 pieces with a deviation of 8 pieces.

Back

|x - 240| ≤ 8

Front

If you say you have 50 dollars give or take 15, what is the absolute value inequality that represents this?

Back

|x - 50| ≤ 15

Front

What does the inequality |w - 500| ≤ 30 represent in the context of an essay contest?

Back

It represents that the essay must have between 470 and 530 words, allowing for a deviation of 30 words from the target of 500.

Front

How do you find the range of distances a student lives from school if the average distance is 1.9 miles with a variation of 1 mile?

Back

You express this as |x - 1.9| ≤ 1, which means the distance can range from 0.9 miles to 2.9 miles.

Front

What is the general form of an absolute value inequality?

Back

The general form is |x - a| ≤ b, where 'a' is the center point and 'b' is the distance from 'a'.

Front

What does the solution to the inequality |x - 240| ≤ 8 look like on a number line?

Back

It represents all values of x between 232 and 248, inclusive.

Front

How can you interpret the inequality |x - 50| ≤ 15 in a real-world context?

Back

It indicates that the actual amount of money you have is between 35 and 65 dollars.

Front

What is the significance of the number '30' in the inequality |w - 500| ≤ 30?

Back

It indicates the maximum allowable deviation from the target word count of 500 words.