Page 86 - Algebra

Explanations:
1. Solve both the equations in terms of y
y≤4–3x andy>x–3 or
y ≤ –3x + 4 and y > x – 3
Plot y = –3x + 4 and y = x – 3 on the graph.
Draw a solid line for the first equation because the inequality has an = sign and a dotted line for the second.
When you closely look at the graphs, you can eliminate options B) and C) because option B) has two dotted lines, and option C) has two solid lines.
So, the graph looks like
Now, use (– 2, 2) to solve the inequality
y ≤ –3x + 4 and y > x – 3 2 ≤ 6 + 4 and 2 > –2– 3 2 ≤ 10 and 2 > –5
10 ≥ 2 and 2 > –5
It does satisfy the inequalities.
Now, shade the regions for both the equations. The graph looks like the following:
Page 85 of 177
Algebra I & II