Answers AZ-Common Core Algebra II BChanges in Period and Phase Shift of Sine and Cosine Functions

Changes in Period and Phase Shift of Sine and Cosine Functions Answers

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Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.

–10 < |3x – 5| < 10

3x – 5 > –10 or 3x – 5 < 10

3x – 5 10

–10 < 3x – 5 < 10

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[6, –5][–5, 6](–5, 6)(6, –5)

[6, –5]

[–5, 6]

(–5, 6)

(6, –5)

Chose the graph that correctly illustrates the inequality.

Option

{x|5 < x < 6}{x|–5 < x < 6}{x|x < 6} {x|–6 < x < 6}

{x|5 < x < 6}

{x|–5 < x < 6}

{x|x < 6}

{x|–6 < x < 6}

Identify the graph that correctly represents the inequality |x + 1| + 2 > 5.

Option

Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.(–4, 2)(0, 3)

Option

(–4, 2)

(0, 3)

Option

A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation.

|x – 20| < 7

|x – 7| < 20

|x + 7| < 20

|x + 20| < 7

Check all of the following you included in your response.Both absolute values would need to be isolated first.You would need to write a compound inequality for each.Both compound inequalities would compare x – 1 to –15 and 15.The inequality with “ ” would use an “or” statement.

Both absolute values would need to be isolated first.

You would need to write a compound inequality for each.

Both compound inequalities would compare x – 1 to –15 and 15.

The inequality with “ ” would use an “or” statement.

Question text not available

Option

Which graph accurately indicates the region, shaded in green, that would determine the solution for the inequality

Option

A quality assurance engineer randomly checks manufactured parts to ensure that they are within 0.002 mm of the desired specifications. If the desired length of the part is 3 mm, then the compound inequality represents the acceptable lengths.Choose the absolute value inequality that represents the situation.