Answer:
[tex]\frac{1}{4}+\frac{m}{2} \leq x\leq 2[/tex]
[tex]x[/tex] denotes amount of food that Felicity's dog eats
Step-by-step explanation:
Given:
Felicity's dog eats no more than two cups of dog food per day.
Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.
The amount of food that Martin's dog eats is represented by using [tex]m[/tex]
To find: the inequality that represents the situation
Solution:
Amount of food that Martin's dog eats = [tex]m[/tex]
Amount of food that Felicity's dog eats ≤ 2
Also,
Amount of food that Felicity's dog eats [tex]\geq \frac{1}{4}+\frac{m}{2}[/tex]
Therefore,
[tex]\frac{1}{4}+\frac{m}{2}\leq[/tex] Amount of food that Felicity's dog eats ≤ 2
Let [tex]x[/tex] denotes amount of food that Felicity's dog eats.
[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]\frac{1}{4}+\frac{m}{2} \leq x\leq 2[/tex]
