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QUESTION IMAGE

step 3 of 3: select and graph the option that describes the overall sol…

Question

step 3 of 3: select and graph the option that describes the overall solution set.
answer 2 points
select the region you wish to be shaded:

the union of the individual solution sets
the intersection of the individual solution sets
( y leq 2x - 4 ) and ( y > 4x - 8 )

Explanation:

Step1: Understand system of inequalities

The system is $y \leq 2x - 4$ and $y > 4x - 8$. A solution to the system must satisfy both inequalities simultaneously.

Step2: Define union vs intersection

  • Union: All points satisfying either inequality.
  • Intersection: All points satisfying both inequalities.

Since the system uses "and", we need the overlap of the two solution sets.

Answer:

○ the intersection of the individual solution sets