# Bob chase intends to major in medicine at the Harvard Medical School. He has been told that he must have two outstanding admissions scores in order to be admitted to a pre-med program. He needs an...

Bob chase intends to major in medicine at the Harvard Medical School. He has been told that he must have two outstanding admissions scores in order to be admitted to a pre-med program. He needs an ACT score of at least 30 and an SAT score of at least 1200. write two inequalities to represent the situation, then graph the inequalities to show the solution.

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### 2 Answers

Let us assume

ACT score = x

SAT score =y

In order to be admitted to a pre-med program,

`x>=30`

`y>=1200`

`S_1={(x,y): x>=30 and y>=0}`

`S_2={(x,y):x>=0 and y>=1200}`

`` `S=S_1nnS_2={(x,y):x>=30 and y>=1200}`

Thus S is the solution set of the problem.

ACT SCORE - x ≧ 30

SAT SCORE - x ≧ 1200

x represents Bob Chase score on either of the tests.

In this case, these inequalities only refer to x, so you would have to graph it on a number line. You would mark a circle on the number and fill it in and continue a line along the number line.

This is shown in the attached picture.