Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Explanation:
[tex]-2|3x-12|>-54[/tex]divide both sides by -2:
[tex]\begin{gathered} \frac{-2|3x-12|}{-2}>\frac{-54}{-2} \\ \text{when you divide an inequality by a negative nuber the sign changes} \\ \text{from > to < in this case} \\ |3x-12|\text{ < 27} \end{gathered}[/tex][tex]\begin{gathered} |3x-12|<\text{ 27 is the same as:} \\ (3x\text{ -12) <27 or (3x -12) < -27} \end{gathered}[/tex]solving each seperately:
[tex]\begin{gathered} (3x\text{ -12) <27} \\ \text{add 12 to both sides:} \\ 3x\text{ -12 + 12 < 27 + 12} \\ 3x\text{ + 0 < 39} \\ 3x\text{ < 39} \\ \frac{3x}{3}<\frac{39}{3} \\ x\text{ < 13} \end{gathered}[/tex][tex]\begin{gathered} (3x\text{ - 12) < -27} \\ \text{add 12 to both sides:} \\ 3x\text{ -12 + 12 < -27 + 12} \\ 3x\text{ + 0 < -15} \\ 3x\text{ < -15} \\ \text{divide both sides by 3:} \\ \frac{3x}{3}<\frac{-15}{3} \\ x\text{ < -5} \end{gathered}[/tex][tex]undefined[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
