Question

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? r

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Answer 1

• x < 9

Explanation:

Let's use the information given to create an inequality for Mary's age (represented as x):

↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.

↪ The sum of their ages is less than 30, so we can write an inequality:

• x (Mary's age) + 2x + 3 (Emily's age) < 30

Now, We can simplify the inequality:

• 3x + 3 < 30

Subtract 3 from both sides of the inequality:

• 3x < 27

Now, divide both sides by 3 to isolate x:

• x < 9

So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.