Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
Maintaining Mathematical Proficiency
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Exercise 4 Page 299

The word and divides the sentence into descriptions of two distinct inequalities.

-3≤ w≤8

Practice makes perfect
Examining the given sentence, we can see that it consists of descriptions of two distinct inequalities joined by the word and. A numberwis at least-3and no more than8. Every inequality has an inequality symbol and values or expressions on either side of this symbol. In our case, we need to find the inequality symbols for the given phrases.
Phrase Inequality symbol
at least
no more than

Once we know the symbols, we can complete the inequality. A numberwis at least-3and no more than8. w≥-3and w≤8 The compound inequality w≥-3 and w≤8 means that the number w is within -3 and 8. This allows us to write it without using the word and. -3≤ w≤8