1. a) Stabiliti valoarea de adevăr a propozitiei \( p \), unde: \[ p:, \exists x \in Z \text {, astfel încât } 3^{x^{2}-1}=27 " \] b) Stabiliti mulțimea de adevăr pentru predicatul: \[ p(x):,|2 x-3|=5, x \in R " \]

Roger was told to think of a number, add 20 , then divide the result by 3 . The answer was Jower than Roger's original number. Deteruine the range of possible numbers Roger may have originally chosen.

8. \( \frac{\sqrt{27 a^{3} b^{6}}}{\sqrt{3 a b^{6}}-5 a b^{2}}= \)

a. \( \frac{2 x^{3}+6 x-6}{x^{3}-1} \)

Diketahui sistem persamaan tinier berikut ini : \[ \begin{array}{l}-1 x+y+2 z=2 \\ 3 x-1 y+z=6 \\ -1 x+3 y+4 z=4\end{array} \] Tentukan solusi persamaan linear tersebut menggunakan metode gauss!

1) \( \frac{10 x+8}{3 a-b}-\frac{9 x+5}{3 a-b}= \)