Question

The coordinates that satisfy the inequality $y-2x>1$ is (solve using graphs).

• A. (2,-2)
• B. (-2,2)
• C. (2,2)

Answer 1

The correct option is B (-2,2)

Given inequality

$y-2x>1$

Let us consider line $y-2x=1$

When $x=0,y=1$
$x=-1,y=-1$

$y-2x=1$ is the line passing through the points (0,1) and (-1,-1).

Representation on the graph:


From the graph, choose two points say (2,-2) and (-2,2)

For (2,-2) $y-2x>1$
$-2-4>1$
$-6>1$
$-6>1$ is false

For (-2,2) $y-2x>1$
$2+4>1$
$6>1$
$6>1$ is True

Therefore, the region containing (-2,2) is the required region.