At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
The answer is x < 1.
Bring the constant to the other side.
- 4x - 6 < 2
- 4x < 4
Divide by 4 on both sides.
- 4x ÷ 4 < 4 ÷ 4
- x < 1
[tex]\Large\texttt{Answer}[/tex]
[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad\space\space\qquad\qquad\qquad}}[/tex]
[tex]\Large\texttt{Process}[/tex]
[tex]\rm{4x-6 < -2}[/tex]
Do you remember that we need to get x by itself to find its value?
We should do this:
⇨ Add 6 to both sides
[tex]\rm{4x-6+6 < -2+6}[/tex]
On the left hand side (lhs), the 6s add up to zero; on the right hand side (rhs), the -2 and 6 result in 4. Hence
[tex]\rm{4x < 4}[/tex]
Now divide both sides by 4
[tex]\rm{\cfrac{4x}{4} < \cfrac{4}{4}}[/tex]
Simplifying fractions gives us
[tex]\rm{x < 1}[/tex]
* what this means is: numbers less than 1 will make the statement true
[tex]\Large\texttt{Verification}[/tex]
Substitute 1 into the original inequality [tex]\boxed{4x-6 < -2}[/tex]
[tex]\rm{4(1)-6 < -2}[/tex]
[tex]\rm{4-6 < -2}[/tex]
Do the arithmetic
[tex]\rm{-2 < -2}[/tex]
Hope that helped
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
