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  • 14-08-2017
  • Mathematics
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Which linear inequality is represented by the graph?

A.y ≤ 2x + 4
B.y ≤ 1/2x + 3
C.y ≥ 1/2x + 3
D.y ≥ 2x + 3

Which linear inequality is represented by the graph Ay 2x 4 By 12x 3 Cy 12x 3 Dy 2x 3 class=

Respuesta :

LAGRHA15 LAGRHA15
  • 14-08-2017
The correct answer is B. I figured this out by testing out coordinates into each equation. I am only going to show my work for equation B though... if you want to see the rest of my work, message me.

(0,0) ⇒ this point is within the shaded part of the graph

0 ≤ 1/2(0) + 3
0 ≤ 0 + 3
0 ≤ 3
True

(1,4) ⇒ this point is within the unshaded region
 
4 ≤ 1/2(1) + 3
4 ≤ 1/2 + 3
4 ≤ 3.5
False

This proves that equation B matches the graph shown.


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