Question

Juana, Anish, and Giselle are comparing their solutions to the inequality 5/6x ≤ −10. Juana says that the inequality symbol must be reversed because there is a negative sign in the inequality. Anish says the Multiplication Property of Inequality or Division Property of Inequality must be applied. Giselle says the inequality symbol must stay the same.

Answer 1

Anish is correct. The Multiplication Property of Inequality or Division Property of Inequality states that if we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality symbol. In this case, we can divide both sides of the inequality 5/6x ≤ -10 by 5/6, but since 5/6 is positive, the inequality symbol does not need to be reversed. Thus, Giselle's statement is incorrect.