Mathematics: What graph represents the inequality y≥2−2x? 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 0 comma negative 2 end ordered pair and begin ordered pair 1 comma 0 end ordered pair. the region above the solid line is shaded. graph of a dashed line on a coordinate plane. the horizontal x axis ranges from negative 5 to 5

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

saigelthegreat8337

11.03.2022

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.

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