Question

Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth 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.

three and one fourth + 2x ≤ 6
three and one fourth + 2x ≥ 6
three and one fourthx + 2 ≤ 6
three and one fourthx + 2 ≥ 6

Answer 1

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

Answer: three and one fourth + 2x ≥ 6

Answer 2

The inequality to determine the minimum number of hours she needs to practice on each of the two days is Option(A) three and one fourth + 2x ≥ 6.

What is inequality ?

Inequality is a statement of an order relationship- greater than, greater than or equal to, less than, or less than or equal to - between two numbers or algebraic expressions.

How to solve the given inequality ?

Let x be the remaining time she needs to practice.

Given that she has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week.

Therefore we have the remaining time as 2x for the last two days of the week.

Thus the total time required by Maggie to complete her lessons -

three and one fourth + 2x.

This time has to be more than or equal to 6 as she needs to spend at least six hours each week practicing the piano.

Thus the inequality to determine the minimum number of hours she needs to practice on each of the two days is Option(A) three and one fourth + 2x ≥ 6.

To learn more about inequality equation, refer -

https://brainly.com/question/861936

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