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If J = {x : x ∈ Z and |x| ≤ 2}, what is its roster form?यदि J = {x : x ∈ Z और |x| ≤ 2}, तो इसका सूची रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: J = {-2, -1, 0, 1, 2}J = {-2, -1, 0, 1, 2}
The condition |x| ≤ 2 means -2 ≤ x ≤ 2. Since x must be an integer, the complete list is -2, -1, 0, 1 and 2. Both endpoints are included because equality is allowed. Therefore option A is correct; options B, C and D omit one or more integers that satisfy the condition.|x| ≤ 2 का अर्थ -2 ≤ x ≤ 2 है। x पूर्णांक होना चाहिए, इसलिए पूरी सूची -2, -1, 0, 1 और 2 होगी। दोनों सिरों को शामिल किया जाएगा, क्योंकि बराबरी की अनुमति है। अतः विकल्प A सही है; B, C और D में ऐसी कुछ पूर्णांक संख्याएँ छूट गई हैं जो शर्त पूरी करती हैं।
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