Please help me with this! Fan and medal!

Question

anonymous · Answer

attachment

campbell_st · Answer

is turn on the computer and use graphing software allowed...?

anonymous · Answer

so from second result y>= -x

yes ? how will be the first one ?

so in case of first inequality when give to x=0 result y=-2 and so for x=-1 result y=0

anonymous · Answer

@campbell_st yes i think so, it just wants steps describing how

campbell_st · Answer

ok... to the 1st line is ok... so use a table of values and substitute them to get the corresponding y values

x |   0   |   1   |   2   |
------------------
y|    -2  |        |        |    

you can get the other 2 values  

the inequality  

$$\ge$$

means the line is solid... so graph the points and draw the line. 

for the 2nd line rewrite the line as 

$$y \ge -x$$

repeat the process using a table of values to get the points

plot them and draw the solid line

then the last step is shading the line... 

use the point (1, 1) and substitute it into each inequality to see if the inequality is true

if it is true the point (1, 1) is in the region to be shaded. 

hope it makes sense

campbell_st · Answer

oh, if you test with (1,1) and the inequality is false, shade the opposite side of the line

anonymous · Answer

do the next two values have to be anything specific?

campbell_st · Answer

so to get the ordered pairs in the table of values use the line

y = 2x - 2

I substituted x = 0 and found y = -2

now you can do the same with x = 1   find the value of y
                                   
                                                x = 2   find the value of y