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Inequalities and their symbols

Inequalities and their symbols

Secondary 2
  1. Copy each pair of numbers and write \(<\) or \(>\) in the box. (i) \(-7\ \square\ {-3}\) (ii) \(0\ \square\ {-2.5}\) (iii) \(-\tfrac{1}{2}\ \square\ {-\tfrac{1}{3}}\)
  2. Write each statement as an inequality. (i) The temperature, \(t\)°C, inside a freezer is below \(-18\)°C. (ii) A coach can hold no more than \(45\) passengers; there are \(p\) passengers on it. (iii) A netball team needs at least \(7\) players; the team has \(n\) players.
  3. Is \(x=6\) a solution of \(x+5<11\)? Is it a solution of \(x+5\le11\)? Explain.

Solution:

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Answer:(a) \(-7<-3\); \(0>-2.5\); \(-\tfrac{1}{2}<-\tfrac{1}{3}\) (b) \(t<-18\); \(p\le45\); \(n\ge7\) (c) not a solution of \(x+5<11\); a solution of \(x+5\le11\)

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