Question

|x – 7| ≤ 2 ПЖПЖПЖПЖП

Answer 1

Ответ:

надеюсь правильно

Пошаговое объяснение:

Answer 2

The expression |x - 7| ≤ 2 represents an inequality involving the absolute value of the quantity (x - 7) being less than or equal to 2. To solve this inequality, we can consider two cases:

Case 1: (x - 7) ≥ 0 (when x - 7 is non-negative) In this case, the absolute value simplifies to (x - 7) itself. Therefore, the inequality becomes: x - 7 ≤ 2

To solve for x, we can add 7 to both sides: x - 7 + 7 ≤ 2 + 7 x ≤ 9

So, for this case, the solution is x ≤ 9.

Case 2: (x - 7) < 0 (when x - 7 is negative) In this case, the absolute value simplifies to -(x - 7). Therefore, the inequality becomes: -(x - 7) ≤ 2

To solve for x, we need to reverse the inequality when multiplying or dividing by a negative number. Multiplying both sides by -1, we get: x - 7 ≥ -2

Adding 7 to both sides, we have: x - 7 + 7 ≥ -2 + 7 x ≥ 5

So, for this case, the solution is x ≥ 5.

Combining the solutions from both cases, we have: x ≤ 9 or x ≥ 5

This means the values of x that satisfy the original inequality are any real numbers that are less than or equal to 9, or greater than or equal to 5.