Solving one-step linear inequalities

Lessons

• Introduction
  i) What is an inequality?
  ii) How to solve linear inequalities?
  iii) How to graph inequalities on a number line?

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• 1.
  Solve.
  a)

  $7x \le 63$
  
  
  b)

  $- \frac{1}{8}x$ > $- 5$
  
  
  c)

  $3 \ge \frac{x}{{1.3}}$
  
  
  d)

  $2.4x$ < $-1.8$
  
  

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• 2.
  Determine if the solution is correct for each inequality.
  a)

  $21.4 - x$ < $17$; $x = 8$
  
  
  b)

  $- \frac{2}{5}x \le 5$; $x = - 2$
  
  
  c)

  $31 \ge - 3x$; $x = 1.5$
  
  
  d)

  $\frac{5}{8}x$ < $2.6$; $x = 0.54$
  
  

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• 3.
  In a pizza restaurant, you need to order a minimum of $30 of pizzas to get a free drink. If each pizza is $7.45, how many pizzas do you need to order to get the free drink?
  a)

  Use inequality to express the situation.
  
  
  b)

  Find the solution to the question.
  
  

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• 4.
  Anna wants to save up $\frac{1}{5}$ of her total income each month. If she wants to save up $260 per month, how much money does she need to earn?
  a)

  Use an inequality to solve the question.
  
  
  b)

  Check your solution.
  
  

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