Answer:
[tex]\frac{7}{20}x < 26.25[/tex]
Step-by-step explanation:
If $x is the value of the gift card when Tyler entered the store, then after spending [tex]\frac{13}{20}[/tex] of the gift card the card's value was less than $26.25.
So, we can write the inequality as
[tex]x - \frac{13}{20}x < 26.25[/tex]
⇒ [tex]\frac{7}{20}x < 26.25[/tex]
So, this is the required inequality that describes x, the value of the gift card when Tyler entered the store. (Answer)