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Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3

Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y-example-1

2 Answers

0 votes

Answer:

y ≤ one-halfx + 3

Explanation:

User David Alsh
by
8.5k points
4 votes

Answer:

Option B.

Explanation:

From the given graph it is clear that the related line passes through the points (0,3) and (2,4).

So, the equation of related line is


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)


y-3=(4-3)/(2-0)(x-0)


y-3=(1)/(2)x

Add 3 on both sides, we get


y=(1)/(2)x+3

The related line is a solid line and shaded portion lies below the line. So, the sign of inequality must be ≤.


y\leq (1)/(2)x+3

Therefore, the correct option is B.

User Kubuntu
by
8.3k points
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