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:
Q. 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:
Define Variables: Let's define the variables for the number of hours Lydia can work tutoring and landscaping. Let t be the number of hours tutoring and l be the number of hours landscaping.
Total Hours Requirement: We are given that Lydia must work no less than 9 hours altogether between both jobs. This means that the sum of the hours spent tutoring and landscaping should be at least 9.
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{9}. extit{t} + extit{l} extit{ extgreater=} extit{9}
Condition Satisfaction: This inequality represents the possible values for t and l that satisfy the condition of Lydia working at least 9 hours in total between the two jobs.
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