Question 39673
 3x - y < 2    and  x + y > 2
add y to each side of the 1st one
3x < 2 + y
subtract 2 from both sides
3x - 2 < y
rewrite with y on the left
y > 3x - 2
--------------------------
subtract x from both sides oof 2nd one
y > -x + 2
graph these as equalities
{{{ graph( 300, 300, -10, 10, -10, 10, 3x - 2, -x + 2) }}}
The solution set should be the "V" shaped area above both lines
Let's test this
The points (1,4) and (-4,7) look like they fall in this area
always go back to original statements to check
3(1) - 4 < 2
TRUE
1 + 4 > 2
TRUE
3(-4) - 7 < 2
TRUE
-4 + 7 > 2
TRUE