Answer:
[tex]z>-3\\z<5\\z \leq4[/tex]
Step-by-step explanation:
[tex]Check \ z>-3\\-0.5>-3\\2.5>-3\\4>-3\\Hence \ these \ numbers \ are \ part \ of \ solution \ set \ of \ the \ inequality\\\\Check \ z<5\\-0.5<5\\2.5<5\\4<5\\Hence \ these \ numbers \ are \ part \ of \ solution \ set \ of \ the \ inequality\\\\Check \ z<4\\4\not<4\\Hence \ numbers\ are \ not \ the \ part \ of \ the \ solution \ set \ of \ the \ inequality\\\\Check \ z\leq4\\-0.5\leq4\\2.5\leq4\\4\leq4\\Hence \ these \ numbers \ are \ part \ of \ solution \ set \ of \ the \ inequality\\\\[/tex]
[tex]Check \ z>0\\-0.5\not>0\\Hence \ these \ numbers \ are \ not \ part \ of \ the \ solution \ set \ of \ inequality[/tex]
