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Question

Add -4 to both sides of the inequality 6 > 2. Then divide both sides of the inequality -10 > -15 by -5. Explain in your own words what happens in both examples and when the direction of the inequality symbol is reversed.

Answer 1

1. 6>2 is changed to 2>-2.

Note: no sign change is necessary for addition or subtraction of inequalities.

2. -10>-15 is changed to 2< 3

Note: you only change the sign when you MULTIPLY or DIVIDE by a NEGATIVE number. look at the question. if you forgot to switch the sign it would read 2>3. two can never be greater than 3. so, if you do not switch it, it does not make any since.