Which of the following represents the solution to the inequality 215-2xl-3315? O (-60,-2) (7.00)
O (-0,1.5) (7.5.00)
O 1-2, 7]
O [1.5, 7.5]

9514 1404 393

  (c)  [-2, 7]

Step-by-step explanation:

We can solve the inequality for an expression in x.

  2|5 -2x| -3 ≤ 15

  2|5 -2x| ≤ 18 . . . . . . add 3

 |5 -2x| ≤ 9 . . . . . . . . divide by 2

We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)

  |2x -5| ≤ 9

Now, we can "unfold" this to get the compound inequality ...

  -9 ≤ 2x -5 ≤ 9

  -4 ≤ 2x ≤ 14 . . . . . add 5

  -2 ≤ x ≤ 7 . . . . . . . divide by 2

The solution interval is [-2, 7].

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The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.

you need to show the graph

step-by-step explanation:

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (