hvandyck4
contestada

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?

a. r > 4 and r ≤ 4.1
b. r > 4 or r ≤ 4.1
c. r < 4 and r ≥ 4.1
d. r < 4 or r ≥ 4.1

Respuesta :

calculista

Let

r------> the radius of the gear

we know that

The value of r, must be greater than [tex]4[/tex] cm, but not exceed [tex]4.1[/tex] cm

The compound inequality that represent this situation is

[tex]4\ cm< r \leq 4.1\ cm[/tex]

the solution is the interval-------> [tex](4,4.1][/tex]

all real numbers greater than [tex]4\ cm[/tex] and less than or equal to [tex]4.1\ cm[/tex]

the solution in the attached figure

the answer is the option A

[tex]r > 4[/tex] and [tex]r \leq 4.1[/tex]


Ver imagen calculista

Answer:

The correct option is A. r > 4 and r ≤ 4.1

Step-by-step explanation:

Given that : In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm

Now, the radius of gear is denoted by r and it must be greater than 4 cm

⇒ r > 4

Also, the radius of the gear should not exceed 4.1 cm

So, it can be equal to 4.1 but should not be greater than 4.1

⇒ r ≤ 4.1 cm

Hence, The compound inequality to represent this situation will be :

r > 4 and r ≤ 4.1

Therefore, The correct option is A. r > 4 and r ≤ 4.1

Otras preguntas