Chapter 9.7, Problem 9RC

The process for graphing the inequality $2x-4y<-12$ is described in the following paragraph. Choose from the columns on the right the word or the symbol that completes each of Exercises RC1–RC9.

true	$<$
false	$\le$
x-intercept	solid
y-intercept	dashed
half-plane	related
$=$	shade

To graph $2x-4y<-12$, we first replace << with RC1. and graph the RC2. equation. The RC3. is $\left(-6, 0\right)$. The RC4. is $\left(0, 3\right)$. The inequality symbol is RC5. ______, so we draw the line RC6 ______. The graph consists of a RC7. ______, either above or below the line. To determine which half-plane to RC8. ______, we test a point not on the line. Let’s check $\left(0,0\right):2\cdot 0-4\cdot 0<-12,\text{ or }0<-12$ is RC9. ______. We shade the other half-plane.