147,156 views
13 votes
13 votes
Not homework review for a test that’s not worth any points

Not homework review for a test that’s not worth any points-example-1
User Sachin Shanbhag
by
3.4k points

1 Answer

13 votes
13 votes

From the graph, we get that one of the inequalities is a less than, and the other one is a less than or equal to, therefore one of the statements a or b must be wrong.

Notice that the line y=-x+3 has the following graph:

Since the above graph proves that the b statement is correct, then the a statement is incorrect, it should be:


y\le(1)/(2)x-1.

Now, recall that for a system of inequalities solved graphically, the solutions are the points in the darkest shaded region, notice that the points on the line y=-x+3 are not in that region, therefore, statement c is incorrect.

Answer: a and c.

Not homework review for a test that’s not worth any points-example-1
User Pramod Setlur
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.