Solution Set for Absolute Value Inequality

At the TX Design Company, the 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 -­ 1,560| ≤ 33,600

•   x -­ 33,600 ≤ 1,560

•   |x ­ -33,600| ≥ 1,560

•   |x -­ 33,600| ≤ 1,560

A box of toothpicks should weight 3.5 ounces give or take an ounce.

Which statement is false regarding this model?  |x - 3.5| > 1

• Tolerance = 1

• The Ideal Amount = 3.5

• The solution to the inequality will be the set of ACCEPTED weights of the toothpick boxes.

• The solution to the inequality will be the set of REJECTED weights of the toothpick boxes.

Tags

CCSS.HSA.CED.A.3

The graphed solution represents the solutions to which inequality?

• | x + 9 | > 3

• | x - 9 | > 3

• | x - 9 | < 3

• | x + 9 | < 3

Find the solution set for the following absolute value inequality:

When does an absolute value inequality have infinite solutions?

• When the absolute value is greater than a negative number

• When the absolute value is less than a negative number

• All the time

• When an absolute value equals zero

An inequality that contains an absolute value expression

• equivalent inequalities

• inequality

• absolute deviation

• absolute value inequality

The solution to this inequality is

• The solution includes both i and iii

• The solution includes both iii and iv

• The solution is ii only

• There is no solution

Select ALL possible intermediate steps when solving -1/2 |3x - 3| + 2 = 1?

• |3x - 3| = 2

• 3x = 5

• -3/2 x + 3/2 + 2 = 1

• -3x = -1

Solve -5|x - 3| - 5 < 15

• No solution

• -1 < x < 7

• -7 < x < 1

• The solution is the set of all real numbers

How many solutions does this equation have? ||2x + 5| - 3|=10

• 2 solutions

• 1 solution

• No solution

• 4 solutions