Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Question 6 (Multiple Choice, Worth 4 points)

Which of the following is a solution to this inequality?

[tex]\[ y \ \textless \ \frac{2}{3} x + 2 \][/tex]

A. (0, 0)

B. (3, 3)

C. (3, 4)

D. (1, 1)

Sagot :

GinnyAnswer
To determine which of the following options is a solution to the inequality [tex]\( y < \frac{2}{3} x + 2 \)[/tex], we can check different points and see if they satisfy the inequality.

Let's analyze the point (0, 0):

1. Substitute [tex]\( x = 0 \)[/tex] and [tex]\( y = 0 \)[/tex] into the inequality:
[tex]\[ y < \frac{2}{3} x + 2 \][/tex]

2. This becomes:
[tex]\[ 0 < \frac{2}{3} \cdot 0 + 2 \][/tex]
[tex]\[ 0 < 0 + 2 \][/tex]
[tex]\[ 0 < 2 \][/tex]

The inequality [tex]\( 0 < 2 \)[/tex] is true, which means the point (0, 0) satisfies the inequality:

Therefore, the point [tex]\( (0,0) \)[/tex] is a solution to the inequality [tex]\( y < \frac{2}{3} x + 2 \)[/tex].
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.