Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Which of the following is a solution for the inequality [tex]2x \ \textless \ 9[/tex]?

A. [tex]x = 5.5[/tex]
B. [tex]x = 4.5[/tex]
C. [tex]x = 6[/tex]
D. [tex]x = 4[/tex]

Sagot :

GinnyAnswer
To determine which values of [tex]\( x \)[/tex] satisfy the inequality [tex]\( 2x < 9 \)[/tex], we will evaluate the inequality for each given value of [tex]\( x \)[/tex].

1. For [tex]\( x = 5.5 \)[/tex]:
[tex]\[ 2 \cdot 5.5 = 11 \][/tex]
Since [tex]\( 11 \)[/tex] is not less than [tex]\( 9 \)[/tex], [tex]\( x = 5.5 \)[/tex] does not satisfy the inequality [tex]\( 2x < 9 \)[/tex].

2. For [tex]\( x = 4.5 \)[/tex]:
[tex]\[ 2 \cdot 4.5 = 9 \][/tex]
Since [tex]\( 9 \)[/tex] is not less than [tex]\( 9 \)[/tex], [tex]\( x = 4.5 \)[/tex] does not satisfy the inequality [tex]\( 2x < 9 \)[/tex].

3. For [tex]\( x = 6 \)[/tex]:
[tex]\[ 2 \cdot 6 = 12 \][/tex]
Since [tex]\( 12 \)[/tex] is not less than [tex]\( 9 \)[/tex], [tex]\( x = 6 \)[/tex] does not satisfy the inequality [tex]\( 2x < 9 \)[/tex].

4. For [tex]\( x = 4 \)[/tex]:
[tex]\[ 2 \cdot 4 = 8 \][/tex]
Since [tex]\( 8 \)[/tex] is less than [tex]\( 9 \)[/tex], [tex]\( x = 4 \)[/tex] does satisfy the inequality [tex]\( 2x < 9 \)[/tex].

Therefore, among the given values, the only value that is a solution to the inequality [tex]\( 2x < 9 \)[/tex] is [tex]\( x = 4 \)[/tex].
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.