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(25 POINTS!!) This absolute value equation has bested absolute values. Use your knowledge of solving absolute value equations to solve this equation. Justify the number of possible solutions.

25 POINTS This absolute value equation has bested absolute values Use your knowledge of solving absolute value equations to solve this equation Justify the numb class=

Respuesta :

animemauluna

Answer:

x = 4

Step-by-step explanation:

Break down the problem into these 2 equations.

(2x + 5) -3 = 10

-(-(2x + 5) -3) = 10

Solve the 1st equation: (2x + 5) -3 = 10

x=4

Solve the 2nd equation: -(-(2x + 5) -3) = 10

x = 1

Collect all solutions.

x = 1, 4

Check solution

When x = 1, the original equation ||2x + 5| -3| = 10∣does not hold true.

We will drop x = 1 from the solution set.

Therefore,

x = 4

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