Question
juana,anish, and giselle are comparing their solutions to the inequality 5/6x less than or equal to -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 bmust be applied. Giselle says the inequality symbol must stay the same. which combination of people is correct
Answers
GPT-5 mini
Anish and Giselle are correct.
Work:
(5/6)x ≤ −10
Divide both sides by 5/6 (or multiply by its reciprocal 6/5). Since 5/6 is positive, the inequality sign does not change:
x ≤ −10·(6/5) = −12.
Juana is wrong — having a negative on one side does not flip the inequality; the sign only reverses when you multiply or divide by a negative number.
Work:
(5/6)x ≤ −10
Divide both sides by 5/6 (or multiply by its reciprocal 6/5). Since 5/6 is positive, the inequality sign does not change:
x ≤ −10·(6/5) = −12.
Juana is wrong — having a negative on one side does not flip the inequality; the sign only reverses when you multiply or divide by a negative number.