Linear Inequality: 2x mother's current age < 3x age 9 yrs ago by at least 3 years

kokien

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Two times of mother's age at present is less than three times of her age nine years ago by at least 3 years. What is the mother's age at present?
 
Two times of mother's age at present is less than three times of her age nine years ago by at least 3 years. What is the mother's age at present?
Start with naming variables whose values you need to estimate.

In this case,

Let mother's present age = M

Mother's age nine years ago = M - 9

continue.....
 
Two times of mother's age at present is less than three times of her age nine years ago by at least 3 years. What is the mother's age at present?
Let M be mother's present age. Lets translate some of the words to algebra
2M is less than 3(M-9) by at least three years
What is being said is the difference between 2M and 3(M-9) is at least three years
Since 2M is less than 3(M-9) we will compute the difference as 3(M-9) - 2M

So we must solve 3(M-9) - 2M > 3.

My biggest concern is since it said by at least 3 years we will not get an exact answer for the mother's current age.
 
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