Q11. Solve the inequality. Express your answer using interval notation. Graph the solution set.
7 ≤ 2x + 3 ≤ 15
a. (-6, -2)
b. [-6, -2]
c. [2, 6]
d. (2, 6)
Q12. Multiply each side of the inequality 2 - 4x ≥ -2 by 5. What is the resulting inequality?
a. 10 - 20x ≥ -10
b. 10 - 20x ≤ -10
c. 10 - 4x ≤ -10
d. 10 - 4x ≥ -10
Q13. Translate the following sentence into a mathematical equation.
Be sure to identify the meaning of all symbols.
The profit derived from the sale of x video cameras is $370 per
unit less the sum of $2700 costs plus $160 per unit.
a. If P is profit and x the units sold, then P =
370x - (2700 + 160x) or P = 210x - 2700.
b. If P is profit and x the units sold, then P =
370x + 2700 - 160x or P = 210x + 2700.
c. If P is profit and x the units sold, then P =
370x - (2700 - 160x) or P = 530x - 2700.
d. If P is profit and x the units sold, then P =
370/x - (2700 + 160/x) or P = 210/x - 2700.
Q14. During a hurricane evacuation from the east coast of Georgia,
a family traveled 210 miles west. For part of the trip, they
averaged 50 mph, but as the congestion got bad, they had to slow to
10 mph. If the total time of travel was 8 hours, how many miles did
they drive at the reduced speed?
a. 57.5 mi
b. 42.5 mi
c. 52.5 mi
d. 47.5 mi
Q15. Find the real solutions of the equation x + √x = 56.
a. {8}
b. {49}
c. {7}
d. {64}