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Chapter 2: Q57. (page 108)

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

The value of x+1is greater than zero.

Short Answer

Expert verified

The given statement is 鈥榮ometimes鈥� true.

Step by step solution

01

Step-1. Write down the given statement.

The given statement is:

The value of x+1is always greater than zero.

x is an integer.

02

Step-2. Evaluate the given expression at -1.

Put the value of x as -1 in the given expression:

=x+1=鈭�1+1=0=0whichisnotgreaterthanzero.

03

Step-3. Conclusion from the statement.

For all the other values of 鈥榵鈥�, the statement is true, but it is false for x=-1.

Therefore, the given statement is 鈥楽OMETIMES鈥� true.

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Most popular questions from this chapter

Translate the following sentence into an equation:

鈥淭he quotient of t and forty is the same as twelve minus half of u鈥�.

Translate each sentence into an equation.

Three times rless than 15 equals 6.

Solve each equation. Check your solution.

12=鈭�7f鈭�9

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

Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive integers with a sum of 21.
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