jinawang819
contestada

Hello, I need help in a compound inequality word problem:

Emily is three years older than twice her sister Mary's age. The sum of their ages is less than 30.

Let x represent Mary's age.

Which inequality represents Mary's possible age?

1. 0 2.0 3.0 4.0

Respuesta :

Answer:

3+2x<30

Step-by-step explanation:

3 represents that Emily is 3 years older than 2x

2x represents twice Mary's age

<30 represents that it's always less than 30

Answer:

The compound inequality is [tex]0<x<9[/tex]

Step-by-step explanation:

Consider the provided information.

It is given that Emily is three years older than twice her sister Mary's age.

Let x represent Mary's age.

Then the age of Emily is: 2x+3

The sum of their ages is less than 30.

This can be written as:

[tex]2x+3+x<30[/tex]

[tex]3x+3<30[/tex]

[tex]3x<27[/tex]

[tex]x<9[/tex]

As we know the age can't be a negative number.

Therefore, the age of Mary must be a positive number greater than 0.

Thus, the compound inequality is [tex]0<x<9[/tex]

Otras preguntas