Solving Compounding Inequalities
Phyllis solved the compound inequality 16 ≤ 2(3x-1) < 28. She began by first breaking down the inequality into two separate inequalities, then she correctly solved for x. Which graph represents her solution?
A
Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes but no more than 41 minutes to complete. She allots 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz. Which compound inequality represents x, the average amount of time a student spends on each question?
C. 11 ≤ 1 + 20x ≤ 41
Solve for x. 5x - 10 > 20 or 5x - 10 ≤ -15
D
Which is the best interpretation of the solution set for the compound inequality? 3(2x + 1) > 21 or 4x + 3 < 3x + 7
D
Which is the best interpretation of the solution set for the compound inequality? 3/2x - 1 < 2x + 4 or 3(2/3x + 1) < 11
D
Which graph represents the solution to the compound inequality? -6 < 3x - 12 ≤ 9
B.
Which best describes the solution set for the inequality below? 3x + 7 ≤ 4x - 8 or -2x + 3 ≥ 1
A
Which graph represents the solution set for the compound inequality below? -1/3x+10>=7 x-10>=7
A
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased?
A. 0.41 < 3.40/x < 0.50
A sugar solution currently measures 250 degrees Fahrenheit. The temperature of the solution increases 5 degrees per minute. The sugar solution will caramelize at temperatures greater than 310 and less than 338 degrees Fahrenheit. Which inequality can be used to find x, the number of minutes it will take for the solution to begin caramelizing?
B
Ava solved the compound inequality x/4 + 7 < -1 or 2x - 1 ≥ 9 for all possible values of x. Which graph represents the solution set?
B
For a wrestler to qualify in his weight class, he needs to weigh more than 165 pounds but less than or equal to 185 pounds. He currently weighs 189 pounds and is losing 0.5 of a pound per week.
B
Solve for x. 0 ≤ 3x - 6 ≤ 18
B
Which compound inequality has no solution? x > 2 and 3x ≤ 9 x > 1 and 2x ≤ -2 x > -1 and 4x ≥ -8 x > -2 and 5x ≥ 15
B
Which values are in the solution set of the compound inequality -8 < 3x + 7 ≤ 10? Select three options.
B, A, E
