Question

The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

Answer 1

Answer:

A. A

Step-by-step explanation:

<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded region below the line

>, ≥ - shaded region above the line

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$y\leq-2x+10$

Draw the solid line $y=-2x+10$.

Shade region below the line.

for x = 5

$y=-2(5)+10=-10+10=0\to(5,\ 0)$

for x = 0

$y=-2(0)+10=0+10=10\to(0,\ 10)$

$y>\dfrac{1}{2}x-2$

Draw the dotted line $y=\dfrac{1}{2}x-2$

Shade region above the line.

for x = 0

$y=\dfrac{1}{2}(0)-2=0-2=-2\to(0,\ -2)$

for x = 4

$y=\dfrac{1}{2}(4)-2=2-2=0\to(4,\ 0)$

Look at the picture

The solutions: A, C, D, K