Question

i need help with a problem about graphing inequalities and shading!

Answer 1

so that line is 3x+y=2

Answer 2

you could try substituting a point on the graph that you know is in the shaded region,
for example you can if (0,0) is a solution to they system (it is in the shade) ,
\[3(0)+(0)=0≤2\]

Answer 3

or you could see if (1,1) is not a solution, it in not in the shade,
because \[3(1)+(1)=4≥2\]

Answer 4

i dont get the shading D:

Answer 5

the shaded bit on the graph is all the solutions

Answer 6

(-2,7) is a solution
\[3(-2)+(7)=1≤2\]

Answer 7

A more simple example is if we are asked to graph x≥2 on a number line
x can be 2,2.1, 3, 5, 100 all are greater than or equal to 2