Lesson 2 - Solving Linear Inequalities

Starter:
Use the quiz below to remind yourself of how to represent sets of numbers on a number line.  You may find the definitions you wrote down last lesson helpful.[br][br]You will see "correct" displayed when you have selected the correct answer.  Use the slider to switch between the different types of inequality.[br][br]Move on when you are happy
Task 1
If you were asked to solve the inequality [math]x+6<10[/math] you could do so algebraically by subtracting 6 from both sides to give      [math]x<4[/math][br][br]We can then represent the set of solutions on a number line:[br]                  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could also choose to solve this graphically, by plotting the graphs of the two lines:[br]                                                 [math]y=x+6[/math] and [math]y=10[/math][br][br]and determining for which values of [math]x[/math] the line [math]y=x+6[/math] is less than (below) the line [math]y=10[/math], (which side of the point of intersection)[br][br]Solve the equations on your sheet algebraically, and use the plotting tool below to verify your answers
Plotting Tool
Task 2
What if you were asked to solve [math]6-x>2[/math]?[br][br]Does your answer correspond with what the graph shows you?  What is different about this example?[br][br]Complete the next set of questions, try to explain what is happening, using the graphs to help describe why.
Lesson 2 worksheet

Information: Lesson 2 - Solving Linear Inequalities