Question

Find one point that lies in the solution set of the following system of inequalities:

y is less than or equal to 1/2x+6
y is greater than -3x-1

Answer 1

so
y<1/2x+6
y>-3x-1
subitute put them together
1/2x+6>y>-3x-1
therfor
1/2x+6>-3x-1
solve for x
subtract 1/2 x from both sides
6>-3.5x-1
add 1 to both sdies
7>-3.5x
divide by -3.5
when divide by negative sweitch sign
-2<x
so x is more than or equal to -2

then subsitute -2 for x
y<1/2(-2)+6
y<-1+6
y<5
so

the answer is
a point where x is mor ethan -2 and y is less than 5 so the points
(x,y)
(1,3) wold work