What is3 - 4y >= -5Please help me out. I don't understand.

Accepted Solution

Answer: y ≀ 2Step-by-step explanation:The given expression is an inequality. The combination of symbols >= is often used when the symbol β‰₯ is not available. It means "is greater than or equal to." The small end of the symbol (>) is on the right, meaning the smaller number is on the right. (The stuff on the left is greater.)It is like an equation in many ways, but an additional rule applies when you solve it. That rule is ... "When a function is applied that changes the greater than/less than relationship of the numbers, the inequality symbol must be reversed."In the sorts of inequalities you will usually see and solve, the only thing that does that is multiplication or division by a negative number. You can see this when you look at how that affects integer relations: β€’ 2 > 1 β€’ -2 < -1 . . . . . multiplying or dividing by -1 reverses > to make it be <One way to avoid having to use this rule is to always multiply or divide by positive numbers. Some extra manipulation may be needed to make that happen. That's what we'll do here.__Add 5 to both sides of the inequality. 8 -4y β‰₯ 0Divide by 4, a positive number. The inequality symbol is unchanged. 2 -y β‰₯ 0Add y to both sides. 2 β‰₯ yThis is the solution to the inequality. It can also be written with the symbol pointing in the other direction (to the left, my preference). This puts larger values on the right, as they are on a number line. y ≀ 2