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The graph to express the inequality y ≤ (½)x is indicated by
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The graph to express the inequality y ≤ (½)x is indicated by...
To plot the graph of y ≤ (½)x, first plote the graph of y =(½)x
It will be a straight line passing through (0 ,0) and (2, 1) .
The graph of inequality is the region satisfying the inequality.
So it is on one side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
As the line passes through origin we can not check (0,0).
Let us check (2,0) , When x = 2, then y = 1. 0 < 1 , So (2,0) satisfy the inequality.
So shading must be towards the point . that is towards x axis.
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