1. The problem states that the mass of a toy is 2.2 kilograms to the nearest 0.1 kg. 2. This means the actual mass $m$ lies within the range where rounding to the nearest 0.1 kg gives 2.2 kg. 3. The rule for rounding to the nearest 0.1 is that the true value is within $\pm 0.05$ of the rounded value. 4. Therefore, the mass $m$ satisfies: $$2.2 - 0.05 \leq m < 2.2 + 0.05$$ 5. Simplifying the inequality: $$2.15 \leq m < 2.25$$ 6. So, the mass of the toy is at least 2.15 kg but less than 2.25 kg. This range represents the possible true values of the mass given the rounding to the nearest 0.1 kg.