When Do You Flip The Sign In Inequalities
Olivia Luz
Solving linear inequalities is very similar to solving linear equations except for one small but important detail.
You don t have to flip the inequality when you apply an increasing function to both sides. If you do not flip the sign it will not be a true inequality. When you multiply or divide both sides of the inequality by a negative number you can flip the sign. 1 the inequality sign changes when both sides are multiplied by a negative number.
Subtract 6 x from both sides in order to only have x on the left. Click to see full answer. There are three times when you need to change flip or reverse an inequality sign. This happens because it needs to read true.
Multiplying and dividing inequalities by negative numbers. In this video i show you examples of each with lots of practice for fun b. To solve you need to get all the x es on the same side of the inequality. For example if you have 2x 8 and divide both sides by 2 you end up with x 4 adding and.
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The main situation where you ll need to flip the inequality sign is when you multiply or divide both sides of an inequality by a negative number. Now it s a rule of thumb to flip the inequality when you multiply both sides by a negative number but you don t even need to use multiplication to see why this is the case. 3 4 a 21.
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