Co n c e p t By t e G r a p h i n g L i n e a r
Inequalities
Use W ith Lesson 6-6@ Common Core State Standards
A -R E I.D .1 2 Graph the solutions to a linear in equality in
tw o variables as a half-plane... and graph th e solution
set to a system o f linear in e q u a litie s...
MP 5A graphing calculator can show the solutions of an inequality or a system of
inequalities. To enter an inequality, press tJ'JJJ and scroll down to select INEQUAL.
Move the cursor over the = symbol for one of the equations. Notice the inequality
symbols at the bottom of the screen, above the keys labeled F2 - F5. Change
the = symbol to an inequality symbol by pressing Q gjjp followed by one of F2 - F5.act ivit y 1
Graph the inequality y < 3x — 7.- Move the cursor over the = symbol for Y|. Press CtflfiSt and F2 to select
the < symbol. - Enter the given inequality as Yj.
- Press 8 raph the inequality.
X = P lo tl Plot2
\Yi = 3X - 7
\Y2 =
\Y3 =icth ’Graph the system. y < — 2x — 3
y > x + 4- Move the cursor over the = symbol for Y|. Press Q Q £l and F2 to select
the < symbol. Enter the first inequality as Y|. - Then move the cursor over the = symbol for Y2 , and press Q g ® ar|d F5 to select
the & symbol. Enter the second inequality as Y2. - Press Qgjjjjj to graph the system of inequalities.
Ex e r c i se s
Use a graphing calculator to graph each inequality. Sketch your graph.- y<x 8. y>5x-9 9. y>-l
Use a graphing calculator to graph each system of inequalities. Sketch
your graph.A- y> —x + 3
y<x+2
12. y> x
y > —2 x + 5- y>-l
y < 0.5x - 2
10. y < - j c + 8- y>2x-2
y < 2x - 4
406 Co n ce p t By t e Gr ap h in g Lin ear In eq u alit ies