Answers4413VA ALGEBRA 3 SEM ASolving Compound Inequalities

Solving Compound Inequalities Answers

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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 < < 0.50
Option A
B
0.41 < < 0.50
Option B
C
0.41 < 3.40x < 0.50
D
0.41 < 3.40 + x < 0.50
2
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Solve for x.0 ≤ 3x – 6 ≤ 18

A
0 ≤ x ≤ 8
B
2 ≤ x ≤ 8
C
x ≤ 0 or x ≥ 8
D
x ≤ 2 or x ≥ 8
3

Which is the best interpretation of the solution set for the compound inequality?x – 1 < 2x + 4 or 3(x + 1) < 11

Question illustration
A
no solution
B
x > –10
C
x < 4
D
all real numbers
4

Which graph represents the solution to the compound inequality?–6 < 3x – 12 ≤ 9

A
A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
Option A
B
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
Option B
C
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
Option C
D
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.
Option D
5

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?

A
310 < 250 + 5x < 338
B
310 < 250 + 5x < 338
C
310 < 5(x + 250) < 338
D
310 < 5(x + 250) < 338
6

Which is the best interpretation of the solution set for the compound inequality?3(2x + 1) > 21 or 4x + 3 < 3x + 7

A
no solution
B
3 < x < 4
C
x 4
D
all real numbers
7

Ava solved the compound inequality + 7 < –1 or 2x – 1 ≥ 9 for all possible values of x. Which graph represents the solution set?

Question illustration
A
A number line with a point at negative 32 with a bold line pointing to the left and an open circle at 5 with a bold line pointing to the right.
Option A
B
A number line with an open circle at negative 32 with a bold line pointing to the left and a point at 5 with a bold line pointing to the right.
Option B
C
A number line with a point at negative 32 with a bold line pointing to the right stopping at the open circle at 5.
Option C
D
A number line with an open circle at negative 32 with a bold line pointing to the right stopping at the point 5.
Option D
8

Which compound inequality has no solution?

A
x ≤ –2 and 2x ≥ 6
B
x ≤ –1 and 5x ≤ 5
C
x ≤ –1 and 3x ≥ –3
D
x ≤ –2 and 4x ≤ –8
9

Which graph represents the solution set for the compound inequality below?x+ 10 ≥ 7x – 10 ≥ 7

Question illustration
A
A number line with a point at 9 with a bold line pointing to the left. A point at 17 with a bold line pointing to the right.
Option A
B
A number line with a point at 9 with a bold line pointing to the right.
Option B
C
A number line with a point at 1 with a bold line pointing to the left. A point at 17 with a bold line pointing to the right.
Option C
D
A number line with a point at 1 with a bold line pointing to the right.
Option D
10

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 currenty weighs 189 pounds and is losing 0.5 of a pound per week.

A
165 ≤ 189 – 0.5w < 185
B
165 < 189 – 0.5w ≤ 185
C
165 > 189 – 0.5w or 185 ≤ 189 – 0.5w
D
165 ≥ 189 – 0.5w or 185 < 189 – 0.5w

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