The set {3, x, 2, 1} has a range of 2. What is the value of x?
1 answer:
Answer:
<h2>x = 1 or x = 2 or x = 3</h2>
Step-by-step explanation:
The range = 2 = (greatest number in the set) - (lowest number in the set)
→ If we took x < 1 then the range would be 3 - x > 3 - 1 then 3 - x > 2 which is impossible ,therefore x could not be less than 1
→ If we took x > 3 then the range would be x - 1 > 3 - 1 then x - 1 > 2 which is impossible ,therefore x could not be higher than 3
<h3><u><em>Conclusion</em></u>: </h3>
1 ≤ x ≤ 3
then
x = 1 or x = 2 or x = 3
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