The solution of 2x-9 \ge 7 is ________.

Question

Accepted Answer

{"content":[{"content":[{"text":"Step 1 (Setup Inequality):","type":"text","marks":[{"type":"bold"}]},{"text":" We want to solve the inequality:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"2x - 9 \ge 7"},"type":"math_block"},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 2 (Isolate x):"},{"type":"text","text":" Add 9 to both sides of the inequality:"}],"type":"paragraph"},{"attrs":{"latex":"2x \ge 7 + 9"},"type":"math_block"},{"attrs":{"latex":"2x \ge 16"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Divide by 2):","type":"text"},{"type":"text","text":" Since 2 is a positive number, dividing by 2 does not flip the inequality sign:"}],"type":"paragraph"},{"attrs":{"latex":"x \ge \frac{16}{2} \implies x \ge 8"},"type":"math_block"},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):"},{"type":"text","text":" The solution of the inequality is exactly "},{"marks":[{"type":"code"}],"text":"x >= 8","type":"text"},{"type":"text","text":" (or "},{"type":"math_inline","attrs":{"latex":"x \ge 8"}},{"type":"text","text":")."}],"type":"paragraph"}],"type":"doc"}

Guide / Hint

Solution