A student solved as follows:

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

A student solved 2−5x≥72 - 5x \ge 7 as follows: 2−5x≥7  ⇒  −5x≥5  ⇒  x≥−12 - 5x \ge 7 \;\Rightarrow\; -5x \ge 5 \;\Rightarrow\; x \ge -1. Identify the step where the inequality sign should have changed direction and write the correct final inequality in xx.

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