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For which equations below is x = -3 a possible solution? Select three options

Sagot :

Varshamittal029idn

x = -3 a possible solution for |x| = 3, |–x| = 3 and –|x| = –3.

Here, we are given 6 equations and we need to check for which of the following, x = -3 is a solution.

Let us look at each equation one by one,

1. |x| = 3

if x = -3

|-3| = 3

3 = 3

Hence, -3 is a solution to this equation.

2. |x| = –3

if x = -3

|-3| = -3

3 ≠ -3

Hence, -3 is not a solution to this equation.

3. |–x| = 3

if x = -3

|3| = 3

3 = 3

Hence, -3 is a solution to this equation.

4. |–x| = –3

if x = -3

|3| = -3

3 ≠ -3

Hence, -3 is not a solution to this equation.

5. –|x| = –3

if x = -3

-|3| = -3

-3 = -3

Hence, -3 is a solution to this equation.

4. –|x| = 3

if x = -3

-|3| = 3

-3 ≠ 3

Hence, -3 is not a solution to this equation.

Thus, equations |x| = 3, |–x| = 3 and –|x| = –3 are correct.

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For which equations below is x = –3 a possible solution? Check all that apply.

|x| = 3

|x| = –3

|–x| = 3

|–x| = –3

–|x| = –3

–|x| = 3

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