Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which of these ordered pairs is a solution to the linear inequality y – 3x ≤ –8?

(TEACHER HINT: Ordered pairs are always (x,y). Make sure you are matching the number in the ordered pair with the right variable in the inequality. Now, don’t forget to use your order of operations to simplify. You’re looking for the ordered pair that will make this statement true.)

A. (–2, 4)
B. (1, 3)
C. (1, –5)
D. (3, 4)

Sagot :

todderrick
C is correct. (1,-5)

-5 - 3(1) =
-5 + - 3 = -8

InesWalston

Answer:

C. (1, -5)

Step-by-step explanation:

If the ordered pair is a solution to the system, then it must satisfy the equation.

The given linear inequality is,

[tex]y-3x \leq -8[/tex]

A. (-2, 4)

[tex]\Rightarrow 4-3(-2) \leq -8[/tex]

[tex]\Rightarrow 4+6 \leq -8[/tex]

[tex]\Rightarrow 10\nless -8[/tex]

So it is not the solution to the system.

B. (1, 3)

[tex]\Rightarrow 3-3(1) \leq -8[/tex]

[tex]\Rightarrow 3-3 \leq -8[/tex]

[tex]\Rightarrow 0\nless -8[/tex]

So it is not the solution to the system.

C. (1, -5)

[tex]\Rightarrow -5-3(1) \leq -8[/tex]

[tex]\Rightarrow -5-3 \leq -8[/tex]

[tex]\Rightarrow -8\leq -8[/tex]

As it satisfies the equation, so it is the solution of the system.

D. (3, 4)

[tex]\Rightarrow 4-3(3) \leq -8[/tex]

[tex]\Rightarrow 4-9 \leq -8[/tex]

[tex]\Rightarrow -5\nless -8[/tex]

So it is not the solution to the system.

View image InesWalston
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.