The graph of the solution set of the inequality -6x - 3y < -18 is is the area above the line 6x + 3y = 18 as shown below.
What is inequality?
"It is a mathematical statement which consists of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
For given question,
We have been given an inequality -6x - 3y < -18
Divide given inequality by -3,
⇒ (-6x - 3y) ÷ (-3) < (-18) ÷ (-3)
⇒ 2x + y > 6
The graph of solution set of the inequality -6x - 3y < -18 is the area above the line 2x + y = 6
The graph of the solution set of the inequality -6x - 3y < -18 is as shown
below.
The dotted line means the line 2x + y =6 is not the part of solution set of given inequality.
Therefore, the graph of the solution set of the inequality -6x - 3y < -18 is is the area above the line 2x + y = 6 as shown below.
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