Question

Решите неравенство 7+2(х-4)больше либо равно х+4. объясните как решать я не понимаю

Answer 1

7+2x-8 больше  либо равно x+4    раскрываем скобки
2x-x больше либо равно -7+8+4    с x в одну , без x в другую
x больше либо равно 5
Чертим коорд. плос-ть отмечаем 5(закрашенная) решение в право ,
общее решение: кв.скобка 5; + бескон. кв.скобка

Answer 2

Resolving the inequality

To resolve the inequality 7 + 2(x - 4) ≥ x + 4, let's break it down step-by-step: 1. Simplify the expressions on both sides: - 7 + 2(x - 4) = 7 + 2x - 8 = 2x - 1 - x + 4 = x + 4 2. Substitute the simplified expressions back into the original inequality: - 2x - 1 ≥ x + 4 3. Subtract x from both sides: - 2x - 1 - x ≥ x + 4 - x - x - 1 ≥ 4 4. Add 1 to both sides: - x ≥ 5

Therefore, the solution set of the inequality is: x ≥ 5

The key steps are: 1) Simplify any expressions inside parentheses 2) Isolate the variable term (x) on one side 3) Simplify both sides by applying the same operations 4) If needed, undo the operations to isolate the variable

Please let me know if any part of the solution or process is unclear! I'm happy to explain further.