Answer:
2.Both boundary lines are solid.
3.A solution to the system is (1, 3).
5.The boundary lines intersect.
Step-by-step explanation:
The give inequalities are:
[tex]y \leqslant 3x + 1 \: and \: y \geqslant - x + 2[/tex]
The slopes of the first boundary line is 3 and the second is -1
Therefore the first statement is false.
Both boundary lines are solid because they contain the equality type of inequality.
The second statement is true.
(1,3) is a solution of both inequalities, because it is in the solution region
since it satisfies both inequalities.
The 3rd statement is true.
The second inequality is shaded above the boundary line because the origin does not satisfy this inequality..The two slopes are not the same so the boundary lines will intersect.
