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Illustrates that the following numbers aren't solutions to the given equation or inequality.
y = -2 in 3( y + 1) = 4 y - 5
Solution
In this case in essence we do the same thing that we did in the earlier example. Plug the number in and illustrates that this time it doesn't satisfy the equation. For equations which will mean that the right side of the equation will not equivalent to the left side of the equation.
- 3 ≠ -13 NOT OK
Thus, -3 is not the similar as -13 and thus the equation isn't satisfied. Thus to the equation y= -2 isn't a solution
Now, there is no cause to think that a given equation or inequality will just have a single solution. Actually, as the first example illustrated the inequality 2 ( z - 5) ≤ 4z has at least two solutions. Also, you may have noticed that x = 3 is not the only solution to x2 - 9 = 0 . In this case x = -3 is also solution.
Determine dy & Δy if y = cos ( x 2 + 1) - x as x changes from x = 2 to x = 2.03 . Solution Firstly let's deetrmine actual the change in y, Δy . Δy = cos (( 2.03) 2
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