Question

Решите неравенства 32.18

Answer 1

$1)n {}^{2} - (n {}^{2} + 2n + 1) > 2 \ n { }^{2} - n {}^{2} - 2n - 1 > 2 \ - 2n - 1 > 2 \ - 2n > 2 + 1 \ - 2n > 3 \ n < - frac{3}{2} \ 2)1 - 2t + t {}^{2} - t {}^{2} > 3 \ 1 - 2t > 3 \ - 2t > 3 - 1 \ - 2t > 2 \ t < - 1 \ 3)m {}^{2} - 4m + 4 - 41 < m {}^{2} \ - 4m + 4 - 41 < 0 \ - 4m - 37 < 0 \ - 4m < 37 \ m > - frac{37}{4} \ 4)m {}^{2} + 9 < 1 - 2m + m {}^{2} \ 9 < 1 - 2m \ 2m < 1 - 9 \ 2m < - 8 \ m < - 4$