Which is the graph of the linear inequality 2x – 3y < 12? On a coordinate plane, a solid straight line has a positive slope a
nd goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
2 answers:
Answer:
A dashed straight line with a positive slope intersects points (0, -4) and (3, -2). The area to the right of the line is shaded.
Step-by-step explanation:
To graph the inequalities represented by 2x - 3y < 12, start by drawing the dashed line for 2x - 3y = 12 (the dashed signifies that the inequality excludes equality). This line passes through coordinates (0,-4) and (3,-2), which satisfy the line's equation. The slope is positive because
with a slope calculated as 2/3.
Next, verify the position of the origin (if it lies within or outside the shaded region). Check the inequality with (0,0):
This implies that the origin's coordinates fulfill the inequality, meaning it is contained within the shaded area. Consequently, shade the part that includes the origin.
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