Writing Absolute Value Inequality

At the TX Design Company, the p.21 average starting salary for a new designer is $33,600, but the actual salary could differ from the average by as much as $1,560. Which inequality could be used to determine if a salary, x, falls within this range?

• |x ­- 1560| ≤ 33600

• x ­- 33600 ≤ 1560

• |x ­- 33600| ≥ 1560

• |x -­ 33600| ≤ 1560

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CCSS.HSA.CED.A.3

Caleb is a machinist at Golden Eagle Chopper Shop. To ensure the reliability of the motorcycle engines produced at the shop, Caleb machines each cylinder to a 4.01" diameter with a tolerance of 0.0002". Which inequality could be used to determine if a cylinder's diameter, x, is acceptable?

• 4.01 -­ x < 0.0002

• |x -­ 4.01| ≤ 0.0002

• |x ­- 4.01| ≥ 0.0002

• x -­ 4.01 > 0.0002

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

What is the midpoint?

• 240 pieces

• 8 pieces

• 248 pieces

• 232 pieces

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

What is the variation?

• 240 pieces

• 8 pieces

• 248 pieces

• 232 pieces

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

Write an inequality to model this situation.

• |x - 8| ≤ 240

• x + 240 ≥ 8

• |x - 240| ≤ 8

• |x - 240| > 8

An essay contest requires that essay entries consist of 500 words with an absolute deviation of at most 30 words. Write an absolute value inequality to represent this.

• |w + 500| > 30

• |w - 500| ≤ 30

• |w - 30| ≥ 500

• w - 30 < 500

Average "normal" human body temperature is 98.6 degrees. You are classified as being sick/feverish if your temperature is above 99 degrees and below 98.2 degrees.

What is the variation?

• 4 degrees

• 98.6 degrees

• 0.4 degrees

• 6 degrees

Average "normal" human body temperature is 98.6 degrees. You are classified as being sick/feverish if your temperature is above 99 degrees and below 98.2 degrees.

What is the midpoint?

• 0.4 degrees

• 98.6 degrees

• 98.2 degrees

• 6 degrees

Average "normal" human body temperature is 98.6 degrees. You are classified as being sick/feverish if your temperature is above 99 degrees and below 98.2 degrees.

Which inequality best represents the situation?

• |t + 98.6| > 0.4 degrees

• |t - 0.4| > 98.6

• t - 99 < 0.4

• |t - 98.6| > 0.4