Subjects algebra

Inequality Error 38E9C8

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1. **State the problem:** We need to find the mistake in the steps solving the inequality $$7x + 5 > 4x + 2$$. 2. **Step 1:** The original inequality is $$7x + 5 > 4x + 2$$ (Given). 3. **Step 2:** Subtract $$4x$$ from both sides: $$7x + 5 - 4x > 4x + 2 - 4x$$ which simplifies to $$3x + 5 > 2$$ This step is correct. 4. **Step 3:** Subtract 5 from both sides: $$3x + 5 - 5 > 2 - 5$$ which simplifies to $$3x > -3$$ Zareen wrote $$3x > 3$$ here, which is incorrect. 5. **Step 4:** Divide both sides by 3: $$x > \frac{-3}{3}$$ which simplifies to $$x > -1$$ Zareen wrote $$x > 1$$, which is incorrect. **Summary:** - Step 2 is correct. - Step 3 has a mistake in subtracting 5. - Step 4 has a mistake in dividing the wrong number. **Answer:** The mistake is in Step 3 and Step 4, but since Step 4 depends on Step 3, the main error starts at Step 3. Therefore, the correct choice is **B Step 3**.