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1.Set Theory
easy
ગણના બધા જ ઘટકો લખો : $C = \{ x:x$ એ પૂર્ણાક છે, ${x^2} \le 4\} $
Option A
Option B
Option C
Option D
Solution
$C = \{ x:x{\rm{ }}$ is an integer ${\rm{ }};{x^2} \le 4\} $
It can be seen that
${( – 1)^2} = 1\, \le \,4;{( – 2)^2} = 4\, \le \,4;{( – 3)^2} = 9\, > \,4$
$0^{2}=0 \leq 4$
$1^{2}=1 \leq 4$
$2^{2}=4 \leq 4$
$3^{2}=9>4$
$\therefore C=\{-2,-1,0,1,2\}$
Standard 11
Mathematics
