definition of absolute value

Solve the absolute value equation. | x | = - 5 => - 5, 5 or 5 or no solution or - 1 5 , 1 5..

The diameter of a tennis ball is between 6.34 cm and 6.68 cm. Write an absolute value inequality that describes the diameter ( d ) range of a tennis ball. => 6.34 < d < 6.68 or | d - 6.51 | > 0.17 or | d - 6.51 | < 0.17 or | d - 6.68 | < 6.34..

Solve the absolute-value equation. | x | = - 6 11 => 6 11 , - 6 11 or no solution or 6 11 or 7 11..

Solve the absolute value equation. | 2 x - 1 | = 1 2 => - 3 4 , - 1 4 or - 3 4 , 1 4 or 3 4 , 1 4 or 3 4 , - 1 4..

Find the absolute maximum value of f ( x ) = ln ( x 2 + 2 x + 4) on [- 4, 3]. => ln (19) or ln (3) or 0 or ln (7) or 3..

Which of the following is the absolute maximum value of f ( x ) = x 2 (ln x ) on [1, 3]? => 1 2 e or 0 or 3 or - 1 2 e or 9ln (3)..

Find the absolute minimum value of f ( x ) = ( x + 1 ) 2 3 on [- 3, 4]. => 2 ( 5 4 ) 1 3 or 0 or 3 or ( 4 ) 1 3 or ( 2 5 ) 1 3..

Find the absolute maximum value of f ( x ) = 20 - 24 x - 15 x 2 - 2 x 3 on [- 5, 3]. => 15 or 0 or 31 or - 241..

Find the absolute minimum value of f ( x ) = x ( 5 x - 6 ) 2 on [- 2, 0]. => - 1 120 or - 1 128 or 0 or 2 or - 2..

Determine the values of x for which the series converges absolutely. 1 + x + x 2 2 ! + x 3 3 ! + ... => for all x in (0, ∞) or for all x in (1, ∞) or for all x in (- ∞, 0) ∪ (0, ∞) or for all real values..