Discuss Shading unwanted regions to graph the solution of a system of inequalities, we have stated the solution of each inequalities in a different color; the solution of a system is the regions where all shaded parts overlap here is a different method; for each inequality shade the regions that does not satisfy the inequality explain why the part of the plane that is left unshaded is the solution of the system. Solve the following system by both method ,why do they prefer? Why?
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College Algebra
- Veronica works two part time jobs in order to earn enough money to meet her obligations of at least $280 a week. Her job at the day spa pays $10 an hour and her administrative assistant job on campus pays $17.50 an hour. How many hours does Veronica need to work at each job to earn at least $280? (a) Let x be the number of hours she works at the day spa and let y be the number of hours she works as administrative assistant. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Veronicaarrow_forwardWhen you graph a system of inequalities, will there always be a feasible region? If so, explain why. If not, give an example of a graph of inequalities that does not have a feasible region. Why does it not have a feasible region?arrow_forwardHugh works two part time jobs. One at a grocery store that pays $10 an hour and the other is babysitting for $13 hour. Between the two jobs, Hugh wants to earn at least $260 a week. How many hours does Hugh need to work at each job to earn at least $260? (a) Let x be the number of hours he works at the grocery store and let y be the number of hours he works babysitting. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Hugh.arrow_forward
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