Svetlana’s hair is 3 cm long. Her hair grows 1.5 cm per month. Svetlana wanted her hair to be less then 18 cm long. Write an inequality to determine the number of months Svetlana can allow her hair to grow. Then, solve the inequality.

Respuesta :

Svetlana can allow her hair to grow for 10 months.

Step-by-step explanation:

Current length of hair = 3cm

Growth per month = 1.5cm

Let, m be the number of months.

As she wants her hair no longer than 18cm, therefore, according to given statement;

1.5m + current length of her hair ≤ 18

[tex]1.5m+3\leq 18\\1.5m\leq 18-3\\1.5m\leq 15[/tex]

Dividing both sides by 1.5

[tex]\frac{1.5m}{1.5}\leq \frac{15}{1.5}\\m\leq 10[/tex]

Svetlana can allow her hair to grow for 10 months.

Keywords: linear inequality, division

Learn more about linear inequalities at:

  • brainly.com/question/11015073
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