Students who score within 18 points of the number 82 will pass a particular test. Write this statement using absolute value notation and use the variable x for the score.

Question

Esther Phillips · Accepted Answer

Given:  Student will pass the test who scores 18 points of number 82  Calculation:  Give that score is expressed in x  Student will pass the test who scores 18 points of number 82  So, the absolute value notation is expressed as,  |x—82|≤18  Conclusion:  Thus, the absolute value notation for the given statement is |x—82|≤18

fudzisako · Accepted Answer

The statement can be written using absolute value notation as follows:|x−82|≤18In this equation, x represents the score of a student. The expression |x−82| calculates the absolute value of the difference between the student&#039;s score (x) and the number 82. The inequality ≤ signifies that the absolute value must be less than or equal to 18. Therefore, if the value of |x−82| is 18 or less, the student will pass the test.

Jazz Frenia · Accepted Answer

Step 1:In mathematics, the absolute value of a number is denoted by two vertical bars surrounding the number. Therefore, we can use the absolute value notation to represent the difference between the score x and the number 82.To write the statement using absolute value notation, we can say:|x−82|≤18Step 2:Let&#039;s break down the expression and explain its meaning:- The expression |x−82| represents the absolute value of the difference between the score x and the number 82.- The symbol ≤ denotes &#039;&#039;less than or equal to.&#039;&#039;- The number 18 represents the maximum allowed difference between the score and the number 82 for a student to pass the test.Combining these components, the inequality |x−82|≤18 states that if the absolute value of the difference between a student&#039;s score (x) and the number 82 is less than or equal to 18, the student will pass the test.For example, if a student scores 80, we can substitute this value into the inequality:|80−82|≤18Simplifying, we get:|−2|≤18Since the absolute value of -2 is 2, we have:2≤18This statement is true, indicating that the student with a score of 80 would pass the test.In general, any student whose score falls within a range of 82±18 (or between 64 and 100) will pass the test.

Students who score within 18 points of the number 82

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