Question

Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
two and one third + 2x ≥ 4
two and one third + 2x ≤ 4
two and one thirdx + 2 ≤ 4
two and one thirdx + 2 ≥ 4

Answer 1

Answer:

two and one third + 2x ≥ 4

Step-by-step explanation:

Given,

The number of hours she already practiced = $\frac{2}{3}$,

Also, she wants to further practicing for 2 days such that each day she practiced equal hours,

Let x be the hours she practiced in each day,

Thus, the number of hours she practiced in two days = 2x

Hence, the total number of hours she practiced all = $\frac{2}{3}+2x$

If she want to practiced at least 4 hours,

Then,

$\frac{2}{3}+2x\geq 4$

Which is the required inequality.

First option is correct.

Answer 2

Answer:

two and one third + 2x  ≥ 4

Step-by-step explanation:

The practice amount should at least be equal to four, that's why it can't be lower.

Also I don't think you're supposed to write two and one third it terms of x because you're comparing it with four.