Respuesta :

Hello from MrBillDoesMath!

Answer:

Leftmost graph:    x<= -2         or   ( minus infinity, -2]

Middle    graph:    (-5, infinity)

Right       graph:   (-2, 3)

Discussion:

I n the graphs the white circle means that value is NOT included in the set. For example, In the Right graph the values -2 and +3 (the "endpoints") are NOT included in the solution set.

In graphs ")" means the value is NOT included but "]"  (the square bracket)  means the value IS included.


Regards,  

MrB

 P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


The solutions for three graphs are (-∞ , -2] , ( -5 , ∞ ) and  (-2 , 3) respectively

What is an inequality?

Inequality is a statement of a relationship greater than(>), greater than or equal to(≥), less than(<), or less than or equal to(≤) between two numbers or algebraic expressions.

What is closed interval?

A closed interval is an interval which includes all its limit points, and is denoted with square brackets.

What is open interval?

An open interval does not include its endpoints, and is indicated with round brackets.

How to choose the correct solution set for each graph ?

  • In the question, the orange line shows the range, and the black line is the number line.

In the first question,

  • The orange line is extended from -2 to negative infinity, that includes all the numbers from -2 to negative infinity, including -2.

So the correct inequality (-∞ , -2]

In the second question,

  • The orange line is extended from -5 to positive infinity that includes all the numbers from -5 to positive infinity, excluding -5.

So the correct inequality will be ( -5 , ∞ )

In the third question,

  • The orange line is extended from -2 to 3 that includes all the numbers from -2 to 3, excluding -2 and 3.

So the correct inequality will be (-2 , 3).

Find more about "Inequality" here: brainly.com/question/24372553

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