2. Solving Inequalities Using Addition or Subtraction
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How do you graph an inequality on a number line?
Error: The graph is going in the wrong direction.
Graph:
Consider the given solution to the inequality.
-17 <& x-14
-17 +14 <& x-14+14
-3 <& x
We can see that the inequality is solved correctly. It tells us that -3 is less than all numbers that satisfy the inequality. Let's now take a look at the graph.
This graph, instead, shows that -3 is greater than the numbers satisfying the inequality. To correct the mistake, we should shade to the right of -3.