Question

Svetlana's hair is 4 centimeters long. Her hair grows 1.5, point, 5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.

Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.

Answer 1

4 + 1.5m ≥ 7

Explanation:

Given,

The original length of Svetlana's hair = 4 cm,

If the additional length of hair per month = 1.5 cm,

So, the total additional length of the hair after m months = 1.5m centimeters,

Hence, the total length of her hairs after m months ( in cm ) = original length + additional length

= 4 + 1.5m

According to the question,

Total length ≥ 7 cm

⇒ 4 + 1.5m ≥ 7

Which is the required inequality.