Respuesta :

Answer:

[tex]x > - 3[/tex]

Step-by-step explanation:

[tex] - 18 < 5x - 3\Leftrightarrow 5x > - 15\Leftrightarrow 5x > - 3\Leftrightarrow x>-3[/tex]

Solution set for given inequality  [tex]-18 < 5x - 3[/tex]  is  [tex]-3 < x[/tex].

What is solution set?

" Solution set is defined as the such set of values which satisfies the given equation or any inequality."

According to the question,

Given inequality,

 [tex]-18 < 5x - 3[/tex]

Add 3 both the side of inequality we get,

[tex]-18 +3 < 5x - 3 +3[/tex]

[tex]= -15 < 5x[/tex]

Divide both the side by 5 to get the solution set ,

  [tex]-3 < x[/tex]

Hence, solution set for given inequality  [tex]-18 < 5x - 3[/tex]  is  [tex]-3 < x[/tex].

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