Question

When solving inequalities,name 2 steps that are the same as solving equations and one difference

Answer 1

9514 1404 393

Explanation:

same:

• the addition property of equality
• the multiplication property of equality (for positive multipliers)

different:

• the multiplication property of equality for negative multipliers

_____

Additional comment

Multiplication by a negative number has the effect of re-ordering numbers:

  -1 < 2 . . . 1 > -2 (both sides multiplied by -1)

Other functions can have the same effect, so care must be taken when applying functions to both sides of an inequality.

  1/2 > 1/3 . . . 2 < 3 (reciprocal function applied to both sides)

  30° < 60° . . . cos(30°) > cos(60°) (cosine function applied to both sides)