1. **State the problem:** We need to determine which of the given inequalities comparing decimal numbers are true. 2. **Recall the rule for comparing decimals:** When comparing decimals, start from the leftmost digit and compare digit by digit. The first place where the digits differ determines which number is greater. 3. **Evaluate each statement:** - A. $9.5 < 9.05$? Compare digit by digit: - $9$ vs $9$ equal - $.$ vs $.$ equal - $5$ vs $0$; since $5 > 0$, $9.5 > 9.05$, so $9.5 < 9.05$ is **false**. - B. $0.25 > 0.025$? Compare digit by digit: - $0$ vs $0$ equal - $.$ vs $.$ equal - $2$ vs $0$; since $2 > 0$, $0.25 > 0.025$ is **true**. - C. $1.222 > 1.2$? Compare digit by digit: - $1$ vs $1$ equal - $.$ vs $.$ equal - $2$ vs $2$ equal - Next digit $2$ vs no digit (which is $0$), so $2 > 0$, thus $1.222 > 1.2$ is **true**. - D. $0.4 < 0.04$? Compare digit by digit: - $0$ vs $0$ equal - $.$ vs $.$ equal - $4$ vs $0$; since $4 > 0$, $0.4 > 0.04$, so $0.4 < 0.04$ is **false**. - E. $4.7 > 4.07$? Compare digit by digit: - $4$ vs $4$ equal - $.$ vs $.$ equal - $7$ vs $0$; since $7 > 0$, $4.7 > 4.07$ is **true**. 4. **Final answer:** The true statements are **B, C, and E**.