MTH
030 -- Elementary Algebra -- Exercise Solutions
Section:
7.5
6a) The point (3, 1) is not a solution
of the inequality x + 4y < -1.
When the coordinates of the point
are substituted into the inequality we obtain
1 + (4)(3) < -1 which is
FALSE because 13 is not less than -1.
6b) The point (-2, 0) is a solution
of the inequality x + 4y < -1.
When the coordinates of the point
are substituted into the inequality we obtain
0 + (4)(-2) < -1 which is
TRUE because -8 is less than -1.
6c) The point (-0.5, 0.2) is not
a solution of the inequality x + 4y < -1.
When the coordinates of the point
are substituted into the inequality we obtain
-0.5 + (4)(0.2) < -1 which
is FALSE because 0.3 is not less than -1.
6d) The point (-2, 1/4) is not a
solution of the inequality x + 4y < -1.
When the coordinates of the point
are substituted into the inequality we obtain
-2 + (4)(1/4) < -1 which
is FALSE because -1 is not less than -1.