Represent each of the given statements as an inequality.
Different Phrase: w is no more than - 7 Both Inequalities: w ≥ - 7 and w ≤ - 7
Practice makes perfect
Each of the given statements can be represented by an inequality. We want to find which inequality is different from the others. We will begin by understanding what each of the given phrases means so that we can recognize the inequality symbol associated with each of them.
Given Statement
Mathematical Interpretation of the Key Phrase
Symbol
Inequality
w is greater than or equal to - 7.
greater than or equal to
≥
w ≥ - 7
w is no more than - 7.
less than or equal to
≤
w ≤ - 7
w is no less than - 7.
greater than or equal to
≥
w ≥ - 7
w is at least - 7.
greater than or equal to
≥
w ≥ - 7
Notice that statement w is no more than - 7 is the only one from this group that cannot be expressed by the inequality w ≥ -7. Therefore, it does not belong to the group. Finally, we can write the two different inequalities that represent the given phrases.
w ≥ -7 and w ≤ - 7
