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Inequalities

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1.The inequality sign changes when both sides are multiplied by a negative number. This happens because it needs to read true. If you do not flip the sign it will not be a true inequality. However, if you multiply by a positive number you do not need to change the inequality sign. You do not change the sign in regular equations. In equations you change the negative or positive sign when multiplying and dividing.

Solve: 9(x+3)>3(x+9)

2.The inequality sign changes when multiplying or dividing by a negative number so that the solution is true. If the sign remains the same the answer will be false. This principle does not apply to equations because in an equation you have only an equal sign so the answer can only equal or not equal.

Try to Solve this problem,

2x + 1 > 6

3.3x - 5 < 9 + x

4.10x-7>7

https://brainmass.com/math/basic-algebra/inequalities-flip-inequality-sign-225324

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