Solve for x: 4|2x − 2| + 10 = 34.

Mathematics

2 answers:

ELEN [110]2 years ago

8 0

Your answer would be X=4,-2

fiasKO [112]2 years ago

5 0

Remark
This will have 2 solutions. I will enclose a graph to show how it is done.
4|2x - 2| + 10 = 34 Subtract 10

Solution
4|2x - 2| = 34 - 10
4|2x - 2| = 24 Divide by 4
|2x - 2| = 24/4
|2x - 2| = 6

Solution 1
2x - 2 = 6 Add 2
2x = 6 + 2
2x = 8 Divide by 2
x = 8/2
x = 4

Solution 2
Make the 6 into - 6 and solve again
|2x - 2| = - 6
2x - 2= -6 Add 2 to both sides.
2x = - 6 + 2
2x = - 4 Divide by 2
x = - 4/2
x = - 2

Answer
There are 2 solutions
(-2,0) and (4,0) See the graph below.

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Sliva [168]

<span>Since each x value maps to one and ONLY ONE y value, this means that this given relation is indeed a function.
The domain is defined as, "</span> The domain<span> is the set of all possible x-values which will make the function "work", and will output real y-values." so I'm guessing the domain would be 1, 3, and 2 since they are independent integers that are positive. The range would be y<4, since the range is the spread of the possible y values. I hope this helps you out. </span>