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Fundamentals of Mathematics, 2008a

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665<br />

Step 5. The three odd integers are -7, -5, -3.<br />

11.7.3.2 Practice Set A<br />

Exercise 11.7.1 (Solution on p. 688.)<br />

When three times a number is decreased by 5, the result is -23. Find the number.<br />

Step 1: Let x =<br />

Step 2:<br />

Step 3:<br />

Step 4: Check:<br />

Step 5: The number is .<br />

Exercise 11.7.2 (Solution on p. 688.)<br />

When ve times a number is increased by 7, the result is ve less than seven times the number.<br />

Find the number.<br />

Step 1: Let n =<br />

Step 2:<br />

Step 3:<br />

Step 4: Check:<br />

Step 5: The number is .<br />

Exercise 11.7.3 (Solution on p. 688.)<br />

Two consecutive numbers add to 35. Find the numbers.<br />

Step 1:<br />

Step 2:<br />

Step 3:<br />

Step 4: Check:<br />

Step 5: The numbers are and .<br />

Exercise 11.7.4 (Solution on p. 688.)<br />

The sum <strong>of</strong> three consecutive even integers is six more than four times the middle integer. Find<br />

the integers.<br />

Step 1: Let x = smallest integer.<br />

= next integer.<br />

= largest integer.<br />

Step 2:<br />

Step 3:<br />

Step 4: Check:<br />

Step 5: The integers are , , and .<br />

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