Answers 4413VA ALGEBRA 3 SEM ASolving Compound Inequalities

Solving Compound Inequalities — Unit test Answers

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Which values are in the solution set of the compound inequality? Select two options.4(x + 3) ≤ 0 or x+1>3–6–3038

–6

–3

In order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. If the average score is 105, which inequality represents p, the scores for students who are eligible for tutoring or extension activities?

85 < p < 125

85 ≤ p ≤ 125

p 125

p ≤ 85 or p ≥ 125

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality?

7 < h < 9

7 > h > 9

h 9

h > 7 or h < 9

The solution to an inequality is given in set-builder notation as {x l x > }. What is another way to represent this solution set?

(–∞ , ]

(–∞ , )

(, ∞)

[, ∞)

A caterer expects a minimum of 160 but no more than 192 people at a wedding. One fruit tray serves 16 people. The compound inequality represents x, the number of fruit trays the caterer should bring to the wedding.160 ≤ 16x≤ 192Which is a possible number of fruit trays the caterer might bring to the wedding?

What is the solution to the inequality 5.25 – b ≥ 6.5?

A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.

A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.

What value of x is in the solution set of 2x – 3 > 11 – 5x?

–3

Step 1: –10 + 8x < 6x – 4Step 2: –10 < –2x – 4Step 3: –6 < –2xStep 4: ________

x < –3

x > –3

x < 3

x > 3

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

x ≥ 0.5

x ≥ 2

(–∞, 0.5]

(–∞, 2]

What are the steps to solving the inequality 3b + 8 ≥ 14?

Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.

Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the inequality by 3.

Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.

Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the inequality.

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

–12 – 20x ≤ –6x + 9

–12 – 20x ≥ –6x + 9

–12 + 20x ≤ –6x + 9

–12 + 20x ≥ –6x + 9

Which graph represents the solution set of the compound inequality below?x + 3 < (4x – 12) < 20

A number line with an open circle at 5 with a bold line pointing to the left and an open circle at 8 with a bold line pointing to the right.

A number line with an open circle at 5 with a bold line pointing to the right stopping at the open circle at 8.

A number line with an open circle at 9 with a bold line pointing to the left and an open circle at 13 with a bold line pointing to the right.

A number line with an open circle at 9 with a bold line pointing to the right stopping at the open circle at 13.

What is the first step in solving the inequality < –1?

Multiply both sides by 6.

Add 2 to both sides.

Change the direction of the inequality.

Change the inequality to ≤.

Which situation could be represented by the graph?

Students in the children’s choir are at least 8 years old but no more than 11 years old.

Babysitters earn between $8 and $11 per hour.

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

The dogs at a veterinary clinic are all 8 years old or under or are older than 11 years.

The inequality graphed below represents the ages, a, of players on a baseball team.

12 < a ≤ 18

12 ≤ a < 18

12 > a ≤ 18

12 ≥ a < 18

Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically charges clients either less than $250 or more than $700. Which inequality represents x, the typical number of hours worked?

75x + 100 700

100x + 75 700

250 < 75x + 100 < 700

250 < 100x + 75 < 700

Which graph represents the compound inequality?n < –2 or n ≥ 4

Option

is in the solution set

–

–2

–

–1

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

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.

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.

A number line with a point at negative 32 with a bold line pointing to the right stopping at the open circle at 5.

A number line with an open circle at negative 32 with a bold line pointing to the right stopping at the point 5.

A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?

50 ≤ x ≤ 58

x ≥ 50 or x ≤ 58

x ≥ 52 or x ≤ 56

52 ≤ x ≤ 56

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Solving Compound Inequalities — Unit test Answers

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