1)15-|z|≥0 2)|z|-7>0

Предыдущий
вопрос Следующий
вопрос

1) To solve the inequality 15 - |z| ≥ 0, we first isolate the absolute value term by moving the constant to the other side:

|z| ≤ 15

Now we consider two cases for the absolute value:

Case 1: If z is positive or zero (|z| = z),
z ≤ 15

Case 2: If z is negative (|z| = -z),
-z ≤ 15
z ≥ -15

Therefore, the solution to the inequality 15 - |z| ≥ 0 is z ≤ 15 or z ≥ -15.

2) To solve the inequality |z| - 7 > 0, we first isolate the absolute value term by moving the constant to the other side:

|z| > 7

Now we consider two cases for the absolute value:

Case 1: If z is positive or zero (|z| = z),
z > 7

Case 2: If z is negative (|z| = -z),
-z > 7
z < -7

Therefore, the solution to the inequality |z| - 7 > 0 is z < -7 or z > 7.