Answer: [tex]\frac{35-28}{x} \leq 6[/tex]
Step-by-step explanation:
Let x be the average number of pounds Fido must loss.
Since, the initial weight of Fido is 35 pounds.
And, After losing the weight, the new weight of Fido in pounds = 28 pounds.
Then the time taken for losing the weight
= [tex]\frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}[/tex]
= [tex]\frac{35-28}{x}[/tex]
According to the question, it must lose weight within 6 months,
Thus, [tex]\frac{35-28}{x}\leq 6[/tex]
Which is the required inequality to find the average number of pounds per month.
By solving it we, get, [tex]x\geq \frac{7}{6}[/tex]