Graphing Two Inequalities

Graph the inequalities y ≤ 4 and x + y ≤ 5. Shade the region where both inequalities are true.

 

 

y = 4

x + y = 5

x + 0 = 5

x = 5

(5, 0)

0 + y = 5

y = 5

(0, 5)

 

y ≤ 4

0 ≤ 4

0 + 0 ≤ 5

0 ≤ 5

 

(-2. 5)

y ≤ 4

5 ≤ 4x

 

(6, 1)

y ≤ 4

1 ≤ 4

6 + 1 ≤ 5

7 ≤ 5x