Question

Изобразите на координатной прямой промежутки:а) х ≤ –2; б) 0 < х < 5.

Answer 1

X∈(-∞;-2] кружочек закрашеный


x∈(0;5) кружочки пустые 

Answer 2

a) х ≤ –2

To represent the interval on the coordinate axis, we need to mark all the values of x that satisfy the condition x ≤ –2. Since x can take any value less than or equal to –2, we mark all the points to the left of –2 on the number line. We can represent this interval as follows:

---------------------|----------------
       -∞         -2

The line segment to the left of -2 represents all the values of x that are less than or equal to -2.

б) 0 < х < 5

To represent the interval on the coordinate axis, we need to mark all the values of x that satisfy the condition 0 < х < 5. Since x can take any value greater than 0 and less than 5, we mark all the points between 0 and 5 on the number line. We can represent this interval as follows:

---------------------|----------------
       0          5

The line segment between 0 and 5 represents all the values of x that are greater than 0 and less than 5.

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