Write an inequality and that represents the graph.

Question

asked Jan 19, 2020 123k views

1 Answer

Ramgorur · Answer 1 · 2020-01-24T21:12:11+0000

Answer:

Part 16)
$y\leq -x+2$

Part 17)
y>(1)/(3)x-1

Explanation:

Part 16) we know that

The solution of the inequality is the shaded area below the solid line

The slope of the solid line is negative

The y-intercept of the solid line is the point (0,2)

The x-intercept of the solid line is the point (2,0)

The slope of the solid line is

m=(0-2)/(2-0)=-1

The linear equation of the solid line in slope intercept form is

y=-x+2

therefore

The inequality that represent the graph is

$y\leq -x+2$

Part 17) we know that

The solution of the inequality is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept of the dashed line is the point (0,-1)

The x-intercept of the dashed line is the point (3,0)

The slope of the dashed line is

m=(0+1)/(3-0)=(1)/(3)

The linear equation of the dashed line in slope intercept form is

y=(1)/(3)x-1

therefore

The inequality that represent the graph is

y>(1)/(3)x-1