a)
[tex]\displaystyle5x-25<0\\ 5x < 25\\ x < 5\Rightarrow x\in\{0,1,2,3,4\}[/tex]
b)
[tex]8x-32 \leq 0\\8x \leq 32\\ x \leq 4\Rightarrow x \in \{0,1,2,3,4\}[/tex]
c)
[tex]-9x + 27\geq 0\\27 \geq 9x\\ x \leq 3\Rightarrow x \in \{0,1,2,3\}[/tex]
d)
[tex]6-x>0\\6 > x\\x < 6\Rightarrow x \in \{0,1,2,3,4,5\}[/tex]
e)
[tex]-5x + 19 > 0\\ 5x < 19\\ x < \frac{19}{5}\Rightarrow x < 3.8\Rightarrow x \in \{0,1,2,3\}[/tex]
f)
[tex]|-6|x-24\leq 0\\ 6x \leq 24\\ x \leq 4\Rightarrow x \in \{0,1,2,3,4\}[/tex]
g)
[tex]\sqrt{72}-x\sqrt{8} \geq 0\\ \sqrt{8}\sqrt{9} - x\sqrt{8}\geq 0\\\sqrt{8}(\sqrt{9} - x) \geq 0\Big | \div \sqrt{8}\\3 - x \geq 0\\x \leq 3\Rightarrow x \in \{0,1,2,3\}[/tex]
h)
[tex]-3x+19 > 0\\ 3x < 19\\ x < \frac{19}{3}\Rightarrow x \leq 6\Rightarrow x \in \{0,1,2,3,4,5,6\}[/tex]
i)
[tex]\sqrt{6}x- \sqrt{30} < 0\\ x\sqrt{6} - \sqrt{5}\sqrt{6} < 0\\\sqrt{6}(x - \sqrt{5}) < 0\Big | \div \sqrt{6}\\x - \sqrt{5} < 0\\ x < \sqrt{5}\\ x < 2.24....\\ x \leq 2 \\ x \in \{0,1,2\}[/tex]
