A linear inequality is an inequality that can be written in one of the following forms: Ax + By > C Ax + By ≥ C Ax + By < C Ax + By ≤ C. Where A and B are not both zero. Recall

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Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a

x

We can use this rule to solve certain inequalities. Example 3 Solve for x: x + 6 Solution If we add -6 to each side, we obtain Graphing this solution on the number line, we have Note that the procedure is the same as in solving

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The answer to the equation is 4.

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The best way to learn something new is to break it down into small, manageable steps.

So at 5, at y is equal to 5, we will draw a dotted line. That shows that we're not including y is equal to 5, but we want include all of the other values greater than 5. So that we will shade in. So here we have shaded in all of the values greater than 5. If it was greater than or equal to 5, we would have drawn a bold line over here.