Answer:
[tex]m \ge 45[/tex]
She must practice for at least 45 minutes each night
Step-by-step explanation:
Given
[tex]Practice = 225\ minutes[/tex] --- at least
[tex]Nights = 5[/tex] --- each week
Required
Write an inequality
Let the number of minutes in a night be m.
At least means [tex]\ge[/tex]
So, we have:
[tex]Nights * m \ge Practice[/tex]
[tex]5* m \ge 225[/tex]
Divide both sides by 5
[tex]m \ge 45[/tex]