Question

I know where two lines intersect is the solution for a set of linear equations. But for linear inequalities how do you find the solution????

Answer 1

start by writing both inequalities in the form y = ________

if y < _____, shade below the line
if y > _____, shade above the line

the solution will be the area where the shaded parts overlap (unlike linear equations, the solution isn't going to be just one point. it will be a region of points)

Answer 2

also, for < and >, use a dotted line.

for <= and >=, (greater than or equal to/less than or equal to) use a solid line

Answer 3

quick example:

y > x + 2
y < 2x + 5

Answer 4

start by graphing y = x + 2 and y = 2x + 5 using dotted lines

Answer 5

righttt but ik there isnt one solution so give me an example

Answer 6

what would an answer

Answer 7

(pretend the line is dashed)

Answer 8

since this is a greater than symbol, I shade everything above this line