Given: The inequality below
![-7x+3<-53](https://img.qammunity.org/2023/formulas/mathematics/college/8t17f6fhvcuad6pj1d3gnx2q4gm5tt12a6.png)
To Determine: the solution of the given inequality
Solution
Collect like terms
![\begin{gathered} -7x+3<-53 \\ -7x<-53-3 \\ -7x<-56 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/i79ubv645z915phu35e57qrb4bc7pklnkj.png)
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
![\begin{gathered} (-7x)/(-7)<(-56)/(-7) \\ x>8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lc91qo1x2d8w6x73bu73nc71ym79oefnk7.png)
Hence, the solution of the given inequality is x > 8, OPTION C