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Solve the following inequality. Write the solution set in interval notation

Solve The Following Inequality Write The Solution Set In Interval Notation class=

Sagot :

Given:

Inequality is

[tex]5(x-3)<2(3x-1)[/tex]

To find:

The solution set of the given inequality:

Explanation:

[tex]\begin{gathered} 5(x-3)<2(3x-1) \\ 5x-15<6x-2 \\ 5x-6x<15-2 \\ -x<13 \\ x>-13 \end{gathered}[/tex]

Therefore the solution set is

[tex](-13,\hat{\infty)}[/tex]

Final answer:

The solution set is

[tex](-13,\infty)[/tex]

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