Since x and y represent the number of chairs and tables, we can say x + y <= A, where A is the total number of chairs and tables.
Now, he can make at most 15, but since he's already made 4 chairs and 3 tables, we need to remove that from our total to find the total amount he can make.
The x and y intercepts hit at 8, so thus, the answer must be the last graph
The following graphs best represent the relationship between x and y the line joining order pair 0, 5, and 3.5, 0, and the region below this line which lies in the first quadrant is shaded.
Inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.
Greg only has enough plywood to make at most 8 chairs or tables total.
Let x represent the number of chairs and y represent the number of tables that Greg can make.
From the given problem, we can arrive at the equation
x + 4 + y + 3 ≤ 15
Notice, that 4 and 3 are added to x and y, respectively.
He already made several chairs and tables.
The inequality sign is ≤ (less than or equal to) since it is stated in the problem that he can only make at most 15 chairs or tables total. Rearranging the equation:
y ≤ -x + 8
Letting x or y be zero from the equation, we have the intercepts as 8. Of the choices, the only answer given is the second choice.
Hence, the correct option is, that the line joining order pair 0, 5, and 3.5, 0, and the region below this line which lies in the first quadrant are shaded.
Learn more about inequality here;
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