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Fie inecuatia: 2^x<=4-x^2. x=?

Răspuns :

[tex] 2^{x} \leq 4- x^{2} <=> \\ <=> 2^{x}-4 \leq - x^{2} <=> \\ <=>4- 2^{x} \geq x^{2} \geq 0 => 2^{x} \leq 4<=> 2^{x} \leq 2^{2}  [/tex]
=> x∈(-∞ ; 2].