Saved Bookmarks
| 1. |
For all numbers x,|x+3|=|x|+3find the number that provides a counterexample to show that the statement is falsewith solution please |
|
Answer» Given : for all numbers x,|x+3|=|x|+3 To Find : with an example show that the statement is false Solution: | x + 3 | = | x | + 3 x = - 1 => | x + 3 | = | - 1 + 3 | = | 2 | = 2 | x | + 3 = | - 1 | + 3 = 1 + 3 = 4 2 ≠ 4 Hence | x + 3 | ≠ | x | + 3 for all x another example x = - 2 => | x + 3 | = | -2 + 3 | = | 1 | = 1 | x | + 3 = | - 2 | + 3 =2 + 3 = 5 1 ≠ 5 Hence | x + 3 | ≠ | x | + 3 for all x LEARN More: If x,y∈[-1,0] and [ ] represents the greatest integer FUNCTION then ... If [x] ≥ –5.6, then exhaustive interval of x is (where [ ] denotes ... |
|