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Lydia is working two summer jobs, tutoring and landscaping. She must work no less than 9 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours tutoring, 
t, and the number of hours landscaping, 
l, that Lydia can work in a given week.
Answer:

Lydia is working two summer jobs, tutoring and landscaping. She must work no less than 99 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours tutoring, t t , and the number of hours landscaping, l l , that Lydia can work in a given week.\newlineAnswer:

Full solution

Q. Lydia is working two summer jobs, tutoring and landscaping. She must work no less than 99 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours tutoring, t t , and the number of hours landscaping, l l , that Lydia can work in a given week.\newlineAnswer:
  1. Define Variables: Let's define the variables for the number of hours Lydia can work tutoring and landscaping. Let tt be the number of hours tutoring and ll be the number of hours landscaping.
  2. Total Hours Requirement: We are given that Lydia must work no less than 99 hours altogether between both jobs. This means that the sum of the hours spent tutoring and landscaping should be at least 99.
  3. Inequality Representation: We can write this requirement as an inequality. The sum of the hours tutoring ( extit{t}) and the hours landscaping ( extit{l}) should be greater than or equal to extit{99}.\newline extit{t} + extit{l} extit{ extgreater=} extit{99}
  4. Condition Satisfaction: This inequality represents the possible values for tt and ll that satisfy the condition of Lydia working at least 99 hours in total between the two jobs.

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