Question

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Which linear inequality is represented by the graph?


y ≥ x – 4

y ≤ x – 4

y ≤ x + 4

y ≥ x + 4

Answer 1

The answer is B.

Explanation:

Answer 2

`y \leqslant (1)/(3)x - 4`

EXPLANATION

First, find the equation of the boundary line which passes through the point

(3,-3) and has a y-intercept of -4.

The slope of this line is,

`m = ( - 4 - - 3)/(0 - 3) = (1)/(3)`

The equation of this line is

`y = (1)/(3)x - 4`

Since the lower half plane is shaded and the boundary line is solid. The required inequality is

`y \leqslant (1)/(3)x - 4`