Question

For the inequality −7≤5y:

A. y≤−7
B. x<0
C. y=1.5
D. x is all real numbers.

Answer 1

After dividing both sides of the inequality -7≤5y by 5, we get y≥-1.4. None of the provided options correctly represents the solution to the inequality.

Step-by-step explanation:

To solve the inequality −7≤5y, we need to isolate y on one side of the inequality. We do this by dividing both sides of the inequality by 5, keeping in mind that this does not change the direction of the inequality because we are dividing by a positive number. The result is y≥−7/5 which simplifies to y≥−1.4. Therefore, the correct answer among the given options is none, as none of the options correctly represent the solution to the inequality.