Question

Determinati x∈N ,astfel incat :
a)0,5·x+0,12≤0,72
b)1,8·x+
5,97<12,36
c)15,903-6·x≥2,001
d)x+5,25<0,$5^{4}$·100
va rog dau coroana

Answer 1

$\displaystyle a).0,5x+0,12 \leq 0,72 \\ 0,5x \leq 0,72-0,12 \\ 0,5x \leq 0,6 \\ x \leq \frac{0,6}{0,5} \\ x \leq 1,2 \\ b).1,8x+5,97\ \textless \ 12,36 \\ 1,8x\ \textless \ 12,36-5,97 \\ 1,8x\ \textless \ 6,39 \\ x\ \textless \ \frac{6,39}{1,8} \\ x\ \textless \ 3,55$
$\displaystyle c).15,903-6x \geq 2,001 \\ -6x \geq 2,001-15,903 \\ -6x \geq -13,902 \\ 6x \leq 13,902 \\ x \leq \frac{13,902}{6} \\ x \leq 2,317 \\ d).x+5,25\ \textless \ 0,5^4 \cdot 100 \\ x+5,25\ \textless \ 0,0625 \cdot 100 \\ x+5,25\ \textless \ 6,25 \\ x\ \textless \ 6,25-5,25 \\ x\ \textless \ 1$