Answered

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|2x+2| =< 0

If the solution set is”null” also known as the empty set or no solution. Explain why

Sagot :

Answer:   x = -1

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Explanation:

The output of an absolute value is never negative.

The result of |2x+2| can never be negative, so we will have no solutions for the portion |2x+2| < 0

There will be one solution for |2x+2| = 0 as shown in the steps below

|2x+2| = 0

2x+2 = 0

2x = -2

x = -2/2

x = -1

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Check:

|2x+2|  ≤ 0

|2(-1)+2| ≤ 0

|-2+2| ≤ 0

|0| ≤ 0

0 ≤ 0

We get a true statement at the end to fully confirm the single solution of x = -1

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