Absolute Value Inequalities

Practice Questions

GRE Subject Test: Math › Absolute Value Inequalities

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1

The weight of the bowling balls manufactured at the factory must be lbs. with a tolerance of lbs. Which of the following absolute value inequalities can be used to assess which bowling balls are tolerable?

2

$\left | \frac{x-6}{2} \right |\leq 3$

3

$5\left | x-7\right |+14<39$

4

$4\left |(x+0.3)\right | - 3 < 11$

5

A type of cell phone must be less than 9 ounces with a tolerance of 0.4 ounces. Which of the following inequalities can be used to assess which cell phones are tolerable? (w refers to the weight).

6

$\left | 6+x\right |-4 < 0$

7

$\left | -4x-5 \right |< 11$

8

$\frac{2}{3}\left | 9x+6\right | -2\geq 1$

9

Which of the following expresses the entire solution set of $\left | x-10\right |+ 3 < 12$ ?

10

$\left | y\right | + 18 \leq 11.3$

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