5y - 3 < 13
Treat the < as an equal sign for a minute to solve the equation. The first thing you want to do is get "y" by itself.
5y-3 < 13
Let's just imagine the left side of the equation first. Let's say you have 5 bags of oranges, each containing a certain number of oranges. You open a bag and take away 3 oranges (notice the minus 3). What's the easiest way to get back that 5 bags of oranges? Well....add 3 oranges again. So let's do that to the left and right side.
5y - 3 + 3 < 13+3
Or...
5y < 16
Now we have to ask ourselves how we can have only one bag of oranges. Well...divide the 5 bags by 5. So do that now:
5y/5 = y
16/5 = 3 1/5
So y has to be less than 3 1/5 oranges per bag.
y < 3 1/5
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Add 3 to both sides and then divide both sides by 5 to simplify.
To solve the inequality 5y - 3 < 13, we need to isolate the variable y.
Step 1: Add 3 to both sides of the inequality:
5y - 3 + 3 < 13 + 3
5y < 16
Step 2: Divide both sides of the inequality by 5:
(5y)/5 < 16/5
y < 3.2
So, the solution to the inequality 5y - 3 < 13 is y < 3.2.