Quiz 16

1. Rearrange the following to determine allowed values for y:
   1. $$ 2y + 3 < 10 $$
   2. $$ -3y -5 > 6 $$
2. Rearrange to find allowed values for y in terms of x:
   1. $$ 2y + 3x < 10 $$
   2. $$ -3y - 5x + 7 > 2 $$
3. Sketch graphs of the two inequalities given in #2, and shade in the region of the plane that is permitted by the inequality.
4. Translate the inequalities in #2 into a word problem (ie, make up a story about what x and y stand for, and explain what "real world" conditions lead to those inequalities.

Solutions:

1. 1. $$ y < \frac{7}{2}$$
   2. $$ y < \frac{-11}{3} $$
2. 1. $$ y < 5 - \frac{3}{2}x $$
   2. $$ y < \frac{5}{3} - \frac{5}{3}x $$
3.