Question

X≤5 (—∞; 5)x> 5 [5;+∞) ​

Answer 1

Ответ:

Неравенство  $x\leq 5$   можно записать с помощью промежутка так:  

$x\in (-\infty \, ;\, 5\ ]\ .$

Неравенство  $x>5$   можно записать с помощью промежутка так:  

$x\in (\, 5\, ;+\infty )\ .$

Answer 2

It seems like you're expressing two inequalities in terms of a variable "x." The first inequality is "x ≤ 5," which means that the values of "x" can range from negative infinity up to and including 5. The second inequality is "x > 5," which indicates that the values of "x" can range from values greater than 5 and up to positive infinity.

Putting these two inequalities together, you're essentially defining two disjoint intervals for the possible values of "x":

1. The interval where x can take any value less than or equal to 5: (-∞, 5].
2. The interval where x can take any value greater than 5: (5, +∞).

Note that the square brackets indicate inclusivity (the endpoint is included in the interval), while the round parentheses indicate exclusivity (the endpoint is not included in the interval).