Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
x ≤ 7/2
Step-by-step explanation:
Expand brackets: 3x - 15 ≤ x - 8
Subtract x from both sides: 2x - 15 ≤ -8
Add 15 to both sides: 2x ≤ 7
Divide both sides by 2: x ≤ 7/2
Answer:
Hello There!
[tex] \huge \dag \sf \green{question}[/tex]
[tex]3(x - 5) \leqslant x - 8[/tex]
[tex] \rule{200pt}{5pt}[/tex]
[tex] \huge \hookrightarrow \sf \blue{answer}[/tex]
[tex] \rule{200pt}{5pt}[/tex]
Use the distributive property to multiply 3 by x-5
[tex]3x - 15 \leqslant x - 8 [/tex]
Subtract x from both sides
[tex]3x - 15 - x \leqslant 8[/tex]
Combine 2x and -x to get 2x
[tex]2x - 15 \leqslant - 8[/tex]
Add 15 to both sides
[tex]2x \leqslant - 8 + 15[/tex]
Add -8 and 15 to get 7
[tex]2x \leqslant 7[/tex]
Now divide both the sides by 2
As 2 is > 0, the inequality direction remains the same.
[tex]x \leqslant \frac{7}{2} \\ [/tex]
[tex] \rule{200pt}{5pt}[/tex]
Hope it helps you from my side
:)
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.