Question

On a piece of paper, graph y≤ -2x.Then determine which answer matches the graph you drew.

A.(-2,4) (3,-6)
B.(-2,4) (1,2)
C.(-2,-6) (1,3)
D.(-2,-6) (1,3)

Answer 1

Answer: (1,2) (-2,-4)

Explanation:

Answer 2

The correct option is A.

Explanation:

The given inequality is

`y\leq -2x`

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

`y=-2x`

At x=0,

`y=-2(0)=0`

At x=1,

`y=-2(1)=-2`

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

`4\leq -2(2)\Rightarrow 4\leq 4` (True)

`-6\leq -2(3)\Rightarrow -6\leq -6` (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

`2\leq -2(1)\Rightarrow 2\leq -2` (False)

`3\leq -2(1)\Rightarrow 3\leq -2` (False)

Therefore options B,C and D are incorrect.