Question

When comparing the relative size of variables expressed in multiple inequalities...

A) Invert the inequalities.
B) Combine them into one inequality.
C) Multiply them by the same number.
D) Divide them by the same number.

Answer 1

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:

1. 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.
2. 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.
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.