Question
Write an inequality represented by the graph.
- x < - 3
- y < - 3
- x > - 3
- x ≥ - 3
Hint:
First, we observe the graph points. We try to note from which point, the shaded region has started. Then, we will try to observe in which direction, the shaded region continues. Thus, we come up with the right inequality.
The correct answer is: x > - 3
Step 1 of 2:
First, observe that the given red line is a dotted line, so it represents that x does not attend to the value passing through the line. In this case, note that the line passes through -3, so x ≠ -3.
Step 2 of 2:
Next, note that the shaded region is on the right side of the dotted line, which indicates that the value of x is increasing. So, all the values are greater than x, i.e., x > -3.
Hence, combining the above two, the inequality can be represented as x > -3.
Final Answer:
The right choice is-- a. x > - 3
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