Question

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

Answer 1

Answer:

The correct option is A.

Step-by-step 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.

Answer 2

D. (-2,-6) (1,3) is the correct answer I believe