Final answer:
When solving an inequality, the inequality sign must be treated in a specific way to ensure accuracy.
Step-by-step explanation:
When solving an inequality, it is essential to treat the inequality sign with care. Just as you use an inequality symbol to show how two metric measurements are related, you must also pay attention to how the sign might change when performing operations on the inequality. Multiplying or dividing both sides of the inequality by a negative number (such as -T) will reverse the sign of the inequality. This is similar to the rules of signs in multiplication and division. For instance, when two positive numbers multiply, the result has a positive (+ve) sign, and when two negative numbers multiply, the result also has a positive sign. Alternatively, multiplying two numbers with opposite signs results in a negative (-ve) sign.
Apart from these rules for reversing the inequality sign, standard arithmetic operations apply. Addition and subtraction do not change the direction of the inequality sign, just as the sum of 1.7 and a positive number must be larger than 2, following the logic that adding a positive number increases the value.