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19 votes
2x-5>3 and -4x+7<-25

whats the compound inequality and how would it be graphed

User Rengasamy
by
2.8k points

1 Answer

7 votes
7 votes

Answer:

8 < x

see attached for the graph

Explanation:

You want the compound inequality and the graph that represents the solution to the system ...

2x-5>3 and -4x+7<-25

Solution

The first inequality has the solution ...

2x -5 > 3 . . . . . given

2x > 8 . . . . . . . add 5

x > 4 . . . . . . . divide by 2

The second inequality has the solution ...

-4x +7 < -25

-4x < -32 . . . . . . subtract 7

x > 8 . . . . . . . . divide by -4

The solution is the intersection of these solution spaces:

4 < x and 8 < x

The intersection is ...

8 < x . . . . . solution to the compound inequality

The graph is attached.

2x-5>3 and -4x+7<-25 whats the compound inequality and how would it be graphed-example-1
User Ashok Goli
by
2.5k points