Deck 8: Section 1: More on Inequalities

Question 1

Graph the solution to the absolute value inequality.

A)
B)
C)
D)

Answer 1

Question 2

Solve: -4 - |-11 - x| = -10

A) {-19, -3}
B) {-17, -5}
C) {-16, -2}
D) {-16, -4}

Answer 2

{-17, -5}

Question 3

Tim works at a bakery and can prepare a birthday cake in 4 hours. It takes him 5 hours to prepare a wedding cake. If Tim works a 40-hour week, draw a graph illustrating the number of each type of cake Tim can bake per week.

A)

B)

C)

D)

Answer 3

Question 4

The solution set is the empty set for which one of the following inequalities?

A)

B)

C)

D)

Question 5

Graph the solution to the absolute value inequality.

A)
B)
C)
D)

Question 6

Graph the solution set for the following system of inequalities and identify each vertex of the region. x $\ge$ 0, y $\ge$ 0
Y $\le$ 3, y $\ge$ x

A)

B)

C)

D)

Question 7

Determine which list of ordered pairs satisfies the compound inequality.

A)

B)

C)

D)

Question 8

Graph the solution to the absolute value inequality.

A)
B)
C)
D)

Question 9

Which of the following graphs correctly represents the solution set of the compound inequality or ?

A)

B)

C)

D)

Question 10

Which of the following graphs correctly represents the solution set of the inequality ?

A)

B)

C)

D)

Question 11

Solve: |x - 10| = 8

A) {2, 18}
B) {-18, 18}
C) {2}
D) {18}

Question 12

Write an inequality to describe the given graph.

A) x < -3 or x $\ge$ 4
B) x < -3 and x $\ge$ 4
C) x > -3 or x $\le$ 4
D) -3 < x $\le$ 4

Question 13

Solve:

A)
B)
C)
D)

Question 14

Determine if the compound inequality is true: 4 $\le$ 4 and 4 > 0

Question 15

Determine whether the absolute value inequality is equivalent to the inequality following it: |4 - x| < 14, 4 - x < 14 and -(4 - x) < 14

Question 16

Trisha needs to adjust her cholesterol level to a target value of 150. She recalls that her cholesterol level differed from her target value by 16 units, but does not recall whether she is above or below the target value. Use an absolute value equation to find the possible values for Trisha's cholesterol level.

A) 118 or 134
B) 129 or 161
C) 134 or 166
D) 144 or 176

Question 17

Solve the inequality and write the solution set in interval notation. 3 < |x| - 2

A) (- $\infty$ , -5) $\cup$ (5, $\infty$ )
B) (- $\infty$ , -5) $\cap$ (5, $\infty$ )
C) (-5, 5)
D) (5, $\infty$ )

Question 18

Write as a single interval if possible: [-6, $\infty$ ) $\cup$ (-4, $\infty$ )

A) [-6, $\infty$ ) $\cup$ (-4, $\infty$ )
B) (-6, $\infty$ )
C) [-6, $\infty$ )
D) (-4, $\infty$ )

Question 19

Professor Jackson gives only a mid-term exam and a final exam. The semester average is computed by taking of the mid-term exam score plus of the final exam score. To get a C, Birgit must have a semester average between 70 and 79 inclusive. If Birgit scored 70 on the mid-term exam, what range of scores on the final exam would give her a C ?

A) f is the final exam score ; 68 $\le$ f $\le$ 90.5
B) f is the final exam score ; 73 $\le$ f $\le$ 92.5
C) f is the final exam score ; 70 $\le$ f $\le$ 92.5
D) f is the final exam score ; 72.5 $\le$ f $\le$ 90.5

Question 20

Graph the solution to the compound inequality.

A)
B)
C)
D)

Question 21

The Belew's Creek Volunteer Fire Department is having a community chicken dinner in order to raise funds. Patrons have a choice between two sizes of dinners. The small dinner costs $2.50 and comes with one piece of chicken and two rolls. The large dinner costs $3.50 and comes with two pieces of chicken and three rolls. The department has a total of 508 rolls and 300 pieces of chicken. How many of each type of dinners need to be sold to maximize the fire department's revenue?

A) 254 small dinners, 0 large dinners
B) 0 small dinners, 92 large dinners
C) 269 small dinners, 2 large dinners
D) 259 small dinners, 10 large dinners

Question 22

Let . Evaluate each expression. a) R(3, 4) b) R(8, 3) c) R(5, 0)

A) 132, 264, 80
B) 116, 179, 80
C) 33, 33, 16
D) 115, 184, 85

Question 23

Carla wants to purchase insurance for her landscaping business. She determines that she needs at least $137,500 of property coverage and at least $159,500 of liability coverage. In order to gain this amount of coverage, she can purchase any combination of insurance plans A and B from two different insurance companies. For each dollar she spends on Plan A, she gets $250 of property coverage and $300 of liability coverage. Plan B provides $260 of property coverage and $290 of liability coverage for each dollar of premium paid. How much should she spend on each plan to minimize her insurance cost?

A) $290 for Plan A and $250 for Plan B
B) $550 for Plan A and $0 for Plan B
C) $250 for Plan A and $290 for Plan B
D) $320 for Plan A and $300 for Plan B