Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the solution to [tex]2x - 8 \ \textless \ 12[/tex]?

A. [tex]x \ \textless \ 2[/tex]
B. [tex]x \ \textless \ 8[/tex]
C. [tex]x \ \textless \ 10[/tex]
D. [tex]x \ \textless \ 40[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\(2x - 8 < 12\)[/tex], follow these steps:

1. Isolate the term involving [tex]\(x\)[/tex]:
- Start by adding 8 to both sides of the inequality to get rid of the constant term on the left side:
[tex]\[ 2x - 8 + 8 < 12 + 8 \][/tex]
- This simplifies to:
[tex]\[ 2x < 20 \][/tex]

2. Solve for [tex]\(x\)[/tex]:
- Next, divide both sides of the inequality by 2 to solve for [tex]\(x\)[/tex]:
[tex]\[ \frac{2x}{2} < \frac{20}{2} \][/tex]
- This simplifies to:
[tex]\[ x < 10 \][/tex]

Therefore, the solution to the inequality [tex]\(2x - 8 < 12\)[/tex] is [tex]\(x < 10\)[/tex].

From the given options, the correct choice is:
[tex]\[ x < 10 \][/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.