[tex]1325 \geq 26x +270[/tex]
First, let's break down what this inequality means. 1,325 is the budget. 270 is the cost of the conference room. 26 is the number of people. That leaves x to be the amount you spend on lunch for each person.
So the budget is 1,325 and you are trying to find a value to fit into that price range which means it has to be less than or equal to 1,325. To do that, you already know that the conference room will cost 270 no matter what so you have to add that to the the amount for lunch which means you are subtracting it from the total cost of the budget.
[tex]1055 \geq 26x[/tex]
Then you divide what's left of the budget by the number of people.
[tex] \frac{1055}{26} \geq x[/tex]
That leaves you with x which is the amount you can spend on lunch per person.
I finished it off for you and got [tex]40.58 \geq x[/tex] which is the same as [tex]x \leq 40.58[/tex]
That means you can spend less than or equal to in other words at most $40.58 on lunch per person.
