Respuesta :

Given: The inequality below

[tex]-7x+3<-53[/tex]

To Determine: the solution of the given inequality

Solution

Collect like terms

[tex]\begin{gathered} -7x+3<-53 \\ -7x<-53-3 \\ -7x<-56 \end{gathered}[/tex]

Divide both sides by -7

Please note for any time you divide two sides of an inequality by a negative sign, the inequality sign is reversed

So

[tex]\begin{gathered} \frac{-7x}{-7}<\frac{-56}{-7} \\ x>8 \end{gathered}[/tex]

Hence, the solution of the given inequality is x > 8, OPTION C

RELAXING NOICE
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