Question

What graph represents the inequality y≥2−2x?

Answer 1

Given inequality : $y\geq 2-2x$

To find the x and y intercepts, let's replace the inequality sign with equal to sign.

$y=2-2x$

To find the x- intercept, plug y = 0

$0=2-2x\\2x=2\\x=1$

x- intercept = ( 1,0)

To find the y- intercept, plug x=0

$y=2-2(0)\\y=2$

y- intercept = (2,0)

Since the given inequality is $\geq$ , the line will be solid and the shaded region will be above the line.

Hence, option D is correct.

Answer 2

Answer:

The given function is

  y≥2-2x

Writing this inequality in equation form and then in slope intercept form

  $y=2-2x\\\\2x+y=2\\\\\frac{2x}{2}+\frac{y}{2}=1\\\\ \frac{x}{1}+\frac{y}{2}=1$

Option D

Graph of a solid line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region above the solid line is shaded.