Question

The graph of which inequality is shown below:

(a) y – x ≤ 0

(b) x – y ≤ 0

(c) y + x ≤ 0

(d) None of the above

Answer 1

Correct option is (c) y + x ≤ 0

The equation of the above straight line is 

y = −x

or 

x + y = 0.`

Now the shading in the above graph is towards the negative part (where x is negative).

Also the line is dark and not dotted. This indicates that the points on the line are part of the inequality.

Hence the required inequality is x + y ≤ 0.