Write and solve the inequality that represents negative one third is greater than or equal to the product of negative four fifths and a number.

Question

negative one third is greater than negative four fifths y where y is less than or equal to negative four fifteenths
negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths
negative four fifths is greater than or equal to negative one third ywhere y is less than or equal to negative five twelfths
negative four fifths is greater than or equal to negative one third y where y is greater than or equal to four fifteenths

Answer 1

The correct inequality that represents the given statement is:

-1/3 ≥ (-4/5)y

To solve this inequality, we can isolate the variable y by dividing both sides by (-4/5). Since we are dividing by a negative number, we must reverse the inequality sign:

(-1/3) / (-4/5) ≤ y

Simplifying the left side:

(-1/3) * (5/-4) ≤ y
5/12 ≤ y

So, the solution to the inequality is:

y ≥ 5/12