Question

Which graph represents the solution set if the compound inequality? -5

Answer 1

Answer:

The answer is the third one:  (-1,6)

Step-by-step explanation:

In order to determine the answer, we have to know about inequality. An inequality is a mathematical expression where the variable can take different values as solution. The range of solution is determined by the boundary values.

In this case, we have the following inequality:

$-5$

We can add +4 to the entire inequality:

$-5+4$

Then, the variable "a" has a range of solution between -1 and 6, without taking these values.

Finally, the graph that represents the solution set is the third one:  (-1,6)

Answer 2

-5 < a - 4 < 2

solving for a

a - 4 > - 5

a >  -1    and

a - 4 < 2

a < 6

So the correct solution set is the third one.