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Chapter 2: Q60. (page 108)

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

The value ofx+c+c is greater than zero.

Short Answer

Expert verified

The given statement is 鈥渟ometimes鈥� true.

Step by step solution

01

Step-1. Write down the given statement.

The given statement is:

The value ofx+c+c is greater than zero.

02

Step-2. Evaluate the given.

The given statement is sometimes true.

For example:

Letx=1andc=-5;x+c+c=1鈭�5鈭�5=鈭�4鈭�5=4鈭�5=鈭�1

Here, the answer is not greater than zero.

Letx=1andc=2;x+c+c=1+2+2=3+2=3+2=5

Here, the answer is greater than zero.

03

Step-3. Conclusion from the statement.

The statement is sometimes true.

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Most popular questions from this chapter

A hang glider 25 meters above the ground starts to descend at a constant rate of 2 meters per second. Which equation shows the height h after t seconds of descent?

  1. h=25t+2t
  2. h=鈭�25t+2
  3. h=2t+25
  4. h=鈭�2t+25

Translate the following sentence into a formula:

鈥淭he density of an object is the quotient of its mass and its volume鈥�.

Translate the following sentence into an equation:

鈥淭he difference of f and five times g is the same as 25 minus f鈥�.

Translate the following sentence into an equation:

鈥淭he sum of twice r and three times k is identical to thirteen鈥�.

Translate each sentence into an equation.

The sum of 8 and three times k equals the difference of 5 times k and 3.
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