[tex] (5-√26)x<51-10√26 [/tex]
Mutliply both sides by -1 to reverse the inequality.
[tex] (5-√26)x(-1)>51-10√26(-1) [/tex]
Simplify.
[tex] -(5-√26)x>-51+10√26 [/tex]
Divide both sides by -5+√26.
After simplifying you should get the answer of
[tex]x>5-√26[/tex]