Core 1 Solving inequalities

1
Core 1 Solving inequalities

• Learning Objectives
• Review how to solve linear inequalities

2
Review Homework
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• CORE 1
• page 64 Idea Development Exercise A
• -2x-1 gt x5
• x lt -2
• OR
• -2x-1 gt x5 (-x)
• -3x-1 gt 5 (1)
• -3x gt 6 (X -1/3)
• x lt -2

y-2x-1
(-2,3)
3
Review Homework
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• Solving -2x-1 gt x5 is solving a linear
  inequality because
• -2x-1 and x5 are both linear expressions
• -3x-1 gt 5
• -3x gt 6 (X -1/3)
• It is X or by which reverses the direction of
  the inequality sign!!!!
• x lt -2

y-2x-1
(-2,3)
4
Solving Your turn!

• Core 1 page 66 complete exercise A.
• QWIZDOM TO CHECK ANSWERS after period 5!

5
Linear Inequalities Plenary

• Algebra can be used to solve some problems by
  forming an inequality
• Mrs Webbs talent show supervision fee is 1 for
  her lunch and 6 per hour, Mr Banks talent show
  supervision fee is 7 for his wine and 3 per
  hour.
• Form and solve an inequality to find for how many
  hours Mrs Webbs fee is cheaper.
• Mrs Webb 6h 1 Mr Banks 3h 7
• 6h 1 lt 3h 7
• 3h lt 6
• h lt 2
• So Mrs Webbs fee is cheaper if it is less than 2
  hours
• Now try Core 1 Exercise B page 67 and 68