(treat
as one element of
)
The power set of is
1. is true because both
and
.
2. is true.
3. is true (same reason as part 1).
4. is false because
does not contain the set
, rather just the element
itself.
5. is false because the element
on its own simply is not in
. That
does not mean
, but that
belongs to a subset of
.
6. is true.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
isolate the variable y
Divide by -4 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The solution of the inequality is the shaded area above the dashed line
The slope of the dashed line is positive m=1/4
The y-intercept of the dashed line is (0,0)
The x-intercept of the dashed line is (0,0)
using a graphing tool
The graph in the attached figure
