The equation has just two solutions, which are 11 and 7.
While the inequality will have a range of solutions, which is:
7 ≤ w ≤11
That is the difference.
How is different solving the inequality than the equation?
Here we have an inequality:
|w - 9| ≤ 2
And an equation:
|w - 9| = 2
To solve these we can start by solving the equation, it gives two equations:
w - 9 = 2
w - 9 = -2
With these we can get two solutions for w,:
w = 2 + 9 = 11
2 = -2 + 9 = 7
Then the equation has just two solutions, which are 11 and 7.
While the inequality will have a range of solutions, which is:
7 ≤ w ≤11
That is the difference between the two.
If you want to learn more about inequalities:
https://brainly.com/question/24372553
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