Answer: The solutions of 3 + x < 9 are numbers less than 6.

Question: Describe the solutions of the inequality in words.

1/2b less than or equal to 6

Answer: All real numbers less than or equal to 12.

Question: Write the inequality shown by the graph (written in words).

(Open circle at -3.3 with a line going to the right)

Answer: x > -3.3

Question: Write the inequality shown by each graph (written in words).

(Open circle at -7 going to the left)

Answer: d < -7

Question: How is a solution of an inequality like a solution of an equation?

Answer: The solution of an equation makes the equation true when substituted for the variable, and the solution of an inequality makes the inequality true when substituted for the variable.

160 + 4f less than or equal to 500

Answer: The solution of the inequality is f is less than or equal to 85.

Question: What is the solution to the inequality?

7 - 2t is less than or equal to 21.

Answer: The solution is t is greater than or equal to -7.

Question: Solve the inequality.

-4 + (-8) < -5c - 2

Answer: The answer is c < 2.

Question:

Solve this inequality.

Answer: The solution is x < 8 1/3.

Question: Solve.

4 + x/3 > -4

Answer: The solution is x > -16

Answer: The answer is x < 1 AND x < 5.

Question: Solve -4 + a > 1 OR -4 + a < -3.

Answer: The answer is a > 5 OR a < 1.

Question: What compound inequality is shown in the graph(written in words)?

(an open circle at 2, going to the left and a closed circle at 5, going to the right)

Answer: The compound inequality is x < 2 OR x is greater than or equal to 5.

Question: Solve n - 4 < -2 OR n + 1 > 6.

Answer: The answer is n < 2 OR n > 5.

Question: Solve 2c - 10 < 5 - 3c < 7c.

Answer: The answer is 0.5 < c < 3.

Answer: The answer is x > -9 AND x < 9.

Question: Solve |p - 162.5| is less than or equal to 12.5.

Answer: The answer is p is greater than or equal to 150 AND p is less than or equal to 175.

Question: Solve |x - 8| + 5 is greater than or equal to 11.

Answer: The answer is x is less than or equal to 2 OR x is greater than or equal to 14.

Question: Solve |x + 4| is less than or equal to 2.

Answer: The answer is x is greater than or equal to -6 AND x is less than or equal to -2.

Question: A nutritionist recommends that an adult male consume 55 grams of fat per day. It is acceptable for the fat intake to differ from this amount by at most 25 grams. a) Write an absolute-value inequality to find the range of fat intake that is acceptable. b) Solve

Answer:

a) |x - 55| is less than or equal to 25

b) 30 is less than or equal to x is less than or equal to 80

Answer: a) 1400 + 243 + w is less than or equal to 2000

b) w is less than or equal to 357 where w is nonnegative

Question: To win the blue ribbon for the Heaviest Pumpkin Crop at the country fair, the average weight of John's two pumpkins must be greater than 819 lbs. One of his pumpkins weighs 887 lb. What is the least number of pounds the second pumpkin could weigh in order for John to win the blue ribbon?

Answer: The second pumpkin must weigh more than 751 pounds.

Question: The "Daily Info" charges a fee of $650 plus $80 per week to run an ad. The "People's Paper" charges $145 per week. For how many weeks will the total cost at "Daily Info" be less expensive than the cost at "People's Paper"?

Answer: The total cost at "Daily Info" is less than the cost at "People's Paper" if the ad runs for more than 10 weeks.

Question: Some fire extinguishers contain pressurized water. The water pressure should be 162.5 psi (pounds per square inch), but it is acceptable for the pressure to differ from the value by at most 12.5 psi. Write and solve an absolute-value inequality to find the range of acceptable pressures.

Answer:

The solution is......

Question: Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. a) Write an inequality that represents Keith's situation. b) How many weeks can Keith withdraw money from his account? (use the variable, w)

Answer: a) 500 - 25w is greater than or equal to 200

b) Keith can withdraw money from his account for up to 12 weeks.