Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
8 ≤ x
Step-by-step explanation:
6(2 − 6x) ≤ 4 − 35x
Expand bracket;
12 - 36x ≤ 4 − 35x
Add 36x to both sides to get;
12 ≤ 4 + x
Subtract 4 from both sides to get;
8 ≤ x
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to solve the inequality 6(2-6x)≤4-35x.
[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]
- [tex]\star[/tex] We need to get x all by itself.
First, we can use the distributive property and distribute 6:
[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]
Now, add 35x to both sides:
[tex]\star\large\pmb{12-x\leq 4}[/tex]
And now, subtract 12 from both sides:
[tex]\star\large\pmb{-x\leq-8}[/tex]
Divide both sides by -1 and watch what happens:
[tex]\star\large\pmb{x\geq 8}[/tex]
Have you noticed that the inequality sign changed from "less than" to "greater than"?
Well, that happened because we divided both sides by a negative number, -1.
Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]
Hope this helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
