Question

Изобразите на координатной прямой пересечение и объедение числовых промежутков [-5 ; 1) и (7 ; + бесконечность) Срочно, пж дам 30 баллов​

Answer 1

Надеюсь помог …………….

Answer 2

Intersection and Union of Number Intervals

To represent the intersection and union of the number intervals [-5, 1) and (7, ∞), we can use a number line.

The number interval [-5, 1) includes all real numbers greater than or equal to -5 and less than 1. This interval includes -5 but does not include 1. On the number line, we can represent this interval by shading the line segment from -5 to 1, with an open circle at 1 to indicate that it is not included.

The number interval (7, ∞) includes all real numbers greater than 7. This interval does not include 7. On the number line, we can represent this interval by shading the line segment to the right of 7, with an arrow pointing to the right to indicate that it continues indefinitely.

To find the intersection of these two intervals, we look for the overlapping region on the number line. In this case, there is no overlap between the intervals, so the intersection is an empty set.

To find the union of these two intervals, we combine all the numbers that are included in either interval. On the number line, the union of the intervals [-5, 1) and (7, ∞) includes all real numbers greater than or equal to -5 and all real numbers greater than 7. This can be represented by shading the line segment from -5 to the left and from 7 to the right, with open circles at -5 and 7 to indicate that they are not included.

Here is a visual representation of the intersection and union of the number intervals [-5, 1) and (7, ∞):

   -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 ...
   |-----------------|                    |-------->
       [-5, 1)                           (7, ∞)
       Intersection: Empty set
       Union: (-∞, -5] U (7, ∞)

I hope this helps! Let me know if you have any further questions.