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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. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m

Respuesta :

Answer:

2>_1/2m+1/4

Step-by-step explanation:

u

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

What is inequality?

The mathematical expressions in which both sides are not equal are called inequalities. In inequality, unlike in equations, we compare two values. The equal to sign in between is replaced by less than, greater than or not equal to sign. Olivia is selected in the 12U Softball.


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]\frac{1}{4}+\frac{m}{2}[/tex]

Therefore,

[tex]\frac{1}{4}+\frac{m}{2}[/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]x[/tex] ≤ 2

Hence,  [tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

Learn more about Inequality:

https://brainly.com/question/20383699

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