Mathematics
Grade10
Easy

Question

Find the system of inequalities that matches the graph.

  1. y > 2x - 4
    y < 2
  2. y < 2x - 4
    y < 2
  3. y > 2x - 4
    < 2 
  4. y < 2x - 4
    <   -2

hintHint:

Note that, there are two types of lines- one is a solid straight red line and another one is a dotted red line. A solid straight line represents equality in an inequality whereas a dotted line indicates strict inequality.

The correct answer is: y > 2x - 4
< 2


    Step 1 of 1:
    Observe that the solid straight red line goes through the point (0,2) and the shaded region for this line is downwards. Hence, it represents the inequality y < 2

    Therefore, the inequalities that match the graph are,
    y > 2x - 4
    < 2
    Final Answer:
    The right choice is-- b. y > 2x - 4
                                     y < 2