Question

Which graph best represents the solution set of 2/3 x + y ≤ − 2?

Answer 1

Answer:

Option D

Step-by-step 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 <