Which linear inequality is represented by the graph? y ≤ x – 1.3 y ≤ x – y ≥ x – y ≥ x – 1.3


Asked by maham237 @ in Mathematics viewed by 420 People


Which linear inequality is represented by the graph?
y ≤ x – 1.3
y ≤ x – 4/3
y ≥ x – 4/3
y ≥ x – 1.3

Answered by maham237 @




We will proceed to graph each case to determine the solution of the problem.

case a) y\leq x - 1.3

Using a graph tool

see the attached figure N 1

The solution is the shaded area

The inequality of the case a) is not represented by the graph

case b) y\leq(x - 4)/3

Using a graph tool

see the attached figure N 2

The solution is the shaded area

The inequality of the case b) is represented by the graph

case c) y \geq(x -4)/3

Using a graph tool

see the attached figure N 3

The solution is the shaded area

The inequality of the case c) is not represented by the graph

case d) y \geq x -1.3

Using a graph tool

see the attached figure N 4

The solution is the shaded area

The inequality of the case d) is not represented by the graph

therefore

the answer is

The inequality y \leq (x - 4)/3 is represented by the graph


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