Final answer:
When comparing the relative size of variables expressed in multiple inequalities, you can invert the inequalities, combine them into one inequality, or multiply them by the same number.
Step-by-step explanation:
When comparing the relative size of variables expressed in multiple inequalities, there are several strategies you can use:
- Invert the inequalities: This means changing the direction of the inequality symbol. For example, if you have x < 5, you would invert it to x > 5.
- Combine them into one inequality: This involves combining the multiple inequalities into a single inequality using logical operators. For example, if you have x < 5 and y > 3, you can combine them as x < 5 AND y > 3.
- Multiply them by the same number: This involves multiplying both sides of the inequalities by the same number. This preserves the relative size of the variables. For example, if you have x < 5, you can multiply it by 2 to get 2x < 10.