Answer:
Option D
Explanation:
The given inequality 2/3 x + y ≤ − 2
Need to find x-intercept and y-intercept of the line 2/3 x + y = − 2
x-intercept ⇒ y = 0 ⇒ 2/3 x = − 2 ⇒ x = -3
y-intercept ⇒ x = 0 ⇒ y = -2
Compare the results with the graphs
The answer is option D
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Note:
The shade area represents the solution of an inequality
The shaded area over a solid line if the the sign is ≥
The shaded area below a solid line if the the sign is ≤
The shaded area over a dashed line if the the sign is >
The shaded area below a dashed line if the the sign is <