Question

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

Answer 1

Answer:

The compound inequality is $0$

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:

$2x+3+x$

$3x+3$

$3x$

$x$

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 $0$

Answer 2

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