Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Determine if the point [tex]\((1, -1)\)[/tex] satisfies the inequality [tex]\(40x - 22y \leq 50\)[/tex].

A. True
B. False


Sagot :

To determine whether the point [tex]\((1, -1)\)[/tex] satisfies the inequality [tex]\(40x - 22y \leq 50\)[/tex], we can follow these steps:

1. Substitute the coordinates of the point into the inequality:
Given the point [tex]\((x, y) = (1, -1)\)[/tex], substitute [tex]\(x = 1\)[/tex] and [tex]\(y = -1\)[/tex] into the inequality:
[tex]\[ 40(1) - 22(-1) \leq 50 \][/tex]

2. Simplify the left-hand side of the inequality:
Calculate the expression:
[tex]\[ 40(1) - 22(-1) = 40 + 22 \][/tex]
The two negatives in [tex]\(-22(-1)\)[/tex] cancel each other out, resulting in:
[tex]\[ 40 + 22 = 62 \][/tex]

3. Compare the simplified inequality:
Now we need to compare [tex]\(62\)[/tex] with the right-hand side of the inequality:
[tex]\[ 62 \leq 50 \][/tex]

4. Evaluate the truth of the statement:
Clearly, [tex]\(62\)[/tex] is not less than or equal to [tex]\(50\)[/tex]. Therefore, the inequality [tex]\(40x - 22y \leq 50\)[/tex] is not satisfied by the point [tex]\((1, -1)\)[/tex].

Conclusion: The statement that the point [tex]\((1, -1)\)[/tex] satisfies the inequality [tex]\(40x - 22y \leq 50\)[/tex] is False.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.