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21-09-2018
Mathematics

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What value of x is in the solution set of 2x-3>11-5x

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21-09-2018

Add 5x to both sides:

[tex] 7x-3>11 [/tex]

Add 3 to both sides:

[tex] 7x > 14 [/tex]

Divide boh sides by 7. Since 7 is positive, you don't have to switch the inequality sign:

[tex] x > \dfrac{14}{7} \iff x > 2 [/tex]

So, every number greater than 2 is a solution to this inequality

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