Linear & Quadratic Inequalities

1x + (-3) > 0

Test pointx = 5

In solution setYES

b-3

Test point (x)5

Keep the linear inequality x − 3 > 0 and set the test point to x = 5 — confirm it reads IN
On the same inequality x − 3 > 0, move the test point to x = 1 — confirm it reads OUT
Switch to Quadratic, set a=1, b=-1, c=-6, operator <, and test x = 0 (between the roots -2 and 3) — confirm IN
On the same quadratic x² − x − 6 < 0, move the test point to x = 5 (outside the roots) — confirm OUT
Set a=1, b=0, c=-4, operator ≥, and test x = -2 (exactly on a root) — confirm a closed boundary reads IN