Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.