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Answer:
See image
Step-by-step explanation:
To graph the inequality
-2x + y >= -10
Change it to y = mx + b form, use a solid line (bc of the "or equal to" underline)
y >= 2x - 10 We have y-intercept at -10 and slope 2/1, shading goes above the line.
The other graph is an absolute value graph; it has a v-shape. The 7 makes it stretched 7 times taller (and skinnier) the -4 by the x shifts the whole graph to the right 4 units. The -4 at the end of the equation shifts the whole graph down 4 units. See image. The shading goes above the V (kind of looks like inside)
The solution to the system is where the shading of the two overlap. It is mostly the shading for the absolute value graph except for a tiny triangle at the bottom. See image.
