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.
You will see "correct" displayed when you have selected the correct answer. Use the slider to switch between the different types of inequality.
Move on when you are happy
Task 1
If you were asked to solve the inequality you could do so algebraically by subtracting 6 from both sides to give
We can then represent the set of solutions on a number line:
We could also choose to solve this graphically, by plotting the graphs of the two lines:
and
and determining for which values of the line is less than (below) the line , (which side of the point of intersection)
Solve the equations on your sheet algebraically, and use the plotting tool below to verify your answers
We could also choose to solve this graphically, by plotting the graphs of the two lines:
and
and determining for which values of the line is less than (below) the line , (which side of the point of intersection)
Solve the equations on your sheet algebraically, and use the plotting tool below to verify your answersPlotting Tool
Task 2
What if you were asked to solve ?
Does your answer correspond with what the graph shows you? What is different about this example?
Complete the next set of questions, try to explain what is happening, using the graphs to help describe why.
