Answer:
[tex]x\geq \frac{5}{6}\ hours[/tex]
The minimum number of hours is 5/6
Step-by-step explanation:
Let
x -----> the number of hours practicing the drums
we know that
Julian needs to spend at least seven hours each week practicing the drums
so
[tex]x\geq 7\ hours[/tex]
He has already practiced 5 1/3 hours this week
so
Convert mixed number to an improper fraction
[tex]5\frac{1}{3}\ hours=\frac{5*3+1}{3}=\frac{16}{3}\ hours[/tex]
Subtract 16/3 from 7
[tex]7-\frac{16}{3}=\frac{7*3-16}{3}=\frac{5}{3}\ hours[/tex]
Divide 5/3 by 2
[tex]\frac{5}{3}/2=\frac{5}{6}\ hours[/tex]
therefore
The inequality that represent the minimum number of hours he needs to practice on each of the two days is
[tex]x\geq \frac{5}{6}\ hours[/tex]
The minimum number of hours is 5/6
