Quizzes About Absolute Inequalities

|d + ⅔| + ¾ < 0

• no solution

• d > -9 and d < ½

• d > -¾ and d < 9

• d < -1/12 and d > -7/12

Solve.

|-3f| ≥ 6.3

• -18.9 ≤ f ≤ 18.9

• no solution

• f ≤ -2.1 or f ≥ 2.1

• -2.1 ≤ f ≤ 2.1

Solve.
|4m + 9| ≥ 21

• -7.5 ≤ m ≤ 3

• m ≤ -7.5 or m ≥ 3

• -3 ≤ m ≤ 7.5

• m ≤ -3 or m ≥ 7.5

3|2d + 9| + 13 > 10

• d > 5 or d < -1

• d < -4 or d > 5

• No Solution

• All real numbers

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Which inequality represents represents the acceptable number of words?

• |x - 30| < 500

• |x - 30| ≤ 500

• |x - 500| < 30

• |x - 500| ≤ 30

Solve.
-5|x - 4| > 20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Solve.
-5|x - 4| < 20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Solve:
3 | 2x + 7| + 7 < 4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Solve:
|x + 4| + 8 > 2

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2