Determine the union of the solution sets of the inequalities x + y > 4 and y < 2x - 6.

Question

Geometry Chapter 13 Section 4

Answer 1

x + y > 4

y > -x +4

-y< x -4

y < 2x -6

add the last two

0< 3x -10

10<3x

3x>10

x> 10/3

y>-10/3 + 4

y > 2/3

x> 3 1/3 and y> 2/3

draw a graph with two lines, x= 3 1/3, y = 2/3

make the lines dotted to indicate they are not part of the solution

shade everything to the right of x= 3 1/3 and above y= 2/3.

that's the solution to the inequalities