What is the solution set of {x | x < -5} ∩ {x | x > 5}? all numbers less than -5 and greater than 5 the numbers between -5 and 5 the empty set all real numbers

Respuesta :

The solution set is all numbers less than -5 and greater than 5

Further explanation:

The solution of inequalities are given in the form of ranges or number lines. The six inequality symbols are used to represent the solution.

Given:

{x | x < -5} ∩ {x | x > 5}

Lets look at the solution step-wise

[tex]\{x | x < -5\}[/tex]

It translates to all numbers less than -5

[tex]\{x | x > 5\}[/tex]

It translates to all numbers greater than 5

As there is Intersection or AND(∩) symbol between the two, the solution set will be both combined

The solution set is all numbers less than -5 and greater than 5

Keywords: Solution set of inequality, inequalities

Learn more about inequalities at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

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Answer:

the empty set

Step-by-step explanation:

cause my test says so... you're welcome!