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Chapter 2: Q58. (page 108)

REASONING Determine whether the following statements are sometimes, always, or never true, if c is an integer. Explain your reasoning.

The solution ofx+c=0 is greater than 0.

Short Answer

Expert verified

The given statement is 鈥榥ever鈥� true.

Step by step solution

01

Step-1. Write down the given statement.

The given statement is:

The solution of x+c=0is greater than 0.

c is an integer.

02

Step-2. Evaluate the given.

The given expression can be solved as:

Case 1:

x+c=+0x=0鈭�cx=鈭�c

Case 2:

x+c=鈭�0x=鈭�0鈭�cx=鈭�c

03

Step-3. Conclusion from the statement.

The solution ofx+c=0 is always negative, i.e. -c, hence, it is less than 0 not equal to 0.

Therefore, the given statement is 鈥楴EVER鈥� true.

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