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
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