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Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality
is given, then write the solution set in interval notation.
Solve the equation or inequality.
Solve the inequality and graph the solution set.
Find the indicated intersection or union.
Let A = {4, 9, 11, 17, 21} and B ={9, 17, 21, 30}. Write the set A
B.
Let A = {q, s, u, v, w, x, y, z}, B = {q, s, y, z}, C = {v, w, x, y, z}, and D = {s}. Specify the following set.
{q, s, u, v, w, x, y, z} or A
C
Solve the inequality. Give the solution set in both interval and graph forms.
Graph the linear inequality in two variables.
Let A = {q, s, u, v, w, x, y, z}, B = {q, s, y, z}, C = {v, w, x, y, z}, and D = {s}. Specify the following set.
For the compound inequality, give the solution set in both interval and graph forms.
9x + 3 –24 and 5x + 9 24
Let A = {q, s, u, v, w, x, y, z}, B = {q, s, y, z}, C = {v, w, x, y, z}, and D = {s}. Specify the following set.
Solve the equation or inequality.
For the compound inequality, give the solution set in both interval and graph forms.
7x + 3 <10 and –4– 8x > – 36
For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both
interval and graph forms.
Each of six decorators has to paint a room (walls only) and put a wallpaper border around the room at the ceiling. One
gallon of paint covers 400 sq ft, and one roll of border contains five yards. Each decorator has one gallon of paint and
three rolls of border.
The list gives the names of each decorator and the size of the room.
Mary
Sam
Irina
Sun Woo
Rosa
Manuel
9′ x 12′
10′ x 12′
12′ x 12′
12′ x 13′
14′ x 17′
13′ x 15′
Give the names of the decorators who will have both enough paint and enough border for their
rooms. (Assume a ceiling height of 8′ for each room.)
C