PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Answer:
[tex]t \leq 25[/tex]
Step-by-step explanation:
[tex](\sqrt{2t+1}) ^{2} + (\sqrt{2t-1}) ^{2} \leq 10^{2}[/tex]
=> 2t +1 + 2t -1 [tex]\leq[/tex] 100
=> 4t [tex]\leq[/tex] 100
=> t [tex]\leq[/tex] 100/4
=> t [tex]\leq[/tex] 25